Manual de Operaciones Panasonic Model KX-T7420 KX-T7425 KX-T7431 KX-T7433 KX-T7436
y = ln (kx) / ln (k)
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Transcript of y = ln (kx) / ln (k)
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8/19/2019 y = ln (kx) / ln (k)
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A^n = 2A
then n=ln2A / lnA
A 2A lnA ln2A
0 0 Err:502 Err:502
0.1 0.2 -2.302585093 -1.6094379124
0.2 0.4 -1.6094379124 -0.9162907319
0.3 0.6 -1.2039728043 -0.5108256238
0.4 0.8 -0.9162907319 -0.2231435513
0.5 1 -0.6931471806 0
0.6 1.2 -0.5108256238 0.1823215568
0.7 1.4 -0.3566749439 0.3364722366
0.8 1.6 -0.2231435513 0.4700036292
0.9 1.8 -0.1053605157 0.5877866649
1 2 0 0.69314718061.1 2.2 0.0953101798 0.7884573604
1.2 2.4 0.1823215568 0.8754687374
1.3 2.6 0.2623642645 0.955511445
1.4 2.8 0.3364722366 1.0296194172
1.5 3 0.4054651081 1.0986122887
1.6 3.2 0.4700036292 1.1631508098
1.7 3.4 0.5306282511 1.2237754316
1.8 3.6 0.5877866649 1.2809338455
1.9 3.8 0.6418538862 1.3350010667
2 4 0.6931471806 1.3862943611
2.1 4.2 0.7419373447 1.4350845253
2.2 4.4 0.7884573604 1.4816045409
2.3 4.6 0.8329091229 1.5260563035
2.4 4.8 0.8754687374 1.5686159179
2.5 5 0.9162907319 1.6094379124
2.6 5.2 0.955511445 1.6486586256
2.7 5.4 0.993251773 1.68639895362.8 5.6 1.0296194172 1.7227665977
2.9 5.8 1.064710737 1.7578579176
3 6 1.0986122887 1.7917594692
3.1 6.2 1.1314021115 1.8245492921
3.2 6.4 1.1631508098 1.8562979904
3.3 6.6 1.1939224685 1.887069649
3.4 6.8 1.2237754316 1.9169226122
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3.5 7 1.2527629685 1.9459101491
3.6 7.2 1.2809338455 1.974081026
3.7 7.4 1.3083328197 2.0014800002
3.8 7.6 1.3350010667 2.0281482473
3.9 7.8 1.3609765531 2.0541237337
4 8 1.3862943611 2.0794415417
4.1 8.2 1.4109869737 2.1041341543
4.2 8.4 1.4350845253 2.1282317058
4.3 8.6 1.4586150227 2.1517622033
4.4 8.8 1.4816045409 2.1747517215
4.5 9 1.5040773968 2.1972245773
4.6 9.2 1.5260563035 2.2192034841
4.7 9.4 1.5475625087 2.2407096893
4.8 9.6 1.5686159179 2.2617630985
4.9 9.8 1.5892352051 2.2823823857
5 10 1.6094379124 2.302585093
5.1 10.2 1.6292405397 2.3223877203
5.2 10.4 1.6486586256 2.3418058061
5.3 10.6 1.6677068206 2.3608540011
5.4 10.8 1.6863989536 2.3795461341
5.5 11 1.7047480922 2.3978952728
5.6 11.2 1.7227665977 2.4159137783
5.7 11.4 1.7404661748 2.4336133554
5.8 11.6 1.7578579176 2.4510050981
5.9 11.8 1.7749523509 2.4680995315
6 12 1.7917594692 2.4849066498
6.1 12.2 1.8082887712 2.5014359517
6.2 12.4 1.8245492921 2.5176964726
6.3 12.6 1.8405496334 2.533696814
6.4 12.8 1.8562979904 2.5494451709
6.5 13 1.8718021769 2.56494935756.6 13.2 1.887069649 2.5802168296
6.7 13.4 1.9021075264 2.595254707
6.8 13.6 1.9169226122 2.6100697927
6.9 13.8 1.9315214116 2.6246685922
7 14 1.9459101491 2.6390573296
7.1 14.2 1.960094784 2.6532419646
7.2 14.4 1.974081026 2.6672282066
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7.3 14.6 1.9878743482 2.6810215287
7.4 14.8 2.0014800002 2.6946271808
7.5 15 2.0149030205 2.7080502011
7.6 15.2 2.0281482473 2.7212954279
7.7 15.4 2.0412203289 2.7343675094
7.8 15.6 2.0541237337 2.7472709143
7.9 15.8 2.0668627595 2.76000994
8 16 2.0794415417 2.7725887222
8.1 16.2 2.0918640617 2.7850112422
8.2 16.4 2.1041341543 2.7972813348
8.3 16.6 2.1162555148 2.8094026954
8.4 16.8 2.1282317058 2.8213788864
8.5 17 2.1400661635 2.8332133441
8.6 17.2 2.1517622033 2.8449093838
8.7 17.4 2.1633230257 2.8564702062
8.8 17.6 2.1747517215 2.867898902
8.9 17.8 2.1860512767 2.8791984573
9 18 2.1972245773 2.8903717579
9.1 18.2 2.2082744135 2.9014215941
9.2 18.4 2.2192034841 2.9123506646
9.3 18.6 2.2300144002 2.9231615807
9.4 18.8 2.2407096893 2.9338568698
9.5 19 2.2512917986 2.9444389792
9.6 19.2 2.2617630985 2.954910279
9.7 19.4 2.2721258855 2.9652730661
9.8 19.6 2.2823823857 2.9755295662
9.9 19.8 2.2925347571 2.9856819377
10 20 2.302585093 2.9957322736
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n A^n (=2A)
0 1
0.6989700043 0.2
0.5693234419 0.4
0.4242833575 0.6
0.2435292026 0.8
0 1
-0.3569154489 1.2
-0.9433582099 1.4
-2.1062837195 1.6
-5.578813479 1.8
#DIV/0 #DIV/0
8.2725408973 2.2
4.8017840169 2.4
3.6419267958 2.6
3.0600427171 2.8
2.7095112914 3
2.4747698474 3.2
2.3062764359 3.4
2.1792495848 3.6
2.079914285 3.8
2 4
1.9342395089 4.2
1.8791181558 4.4
1.8322002503 4.6
1.7917440692 4.8
1.7564707974 5
1.7254200713 5.2
1.6978564745 5.41.6732071764 5.6
1.6510192454 5.8
1.6309297536 6
1.6126444113 6.2
1.5959220204 6.4
1.5805629753 6.6
1.5664006342 6.8
0 2
-8
-6
-4
-2
0
2
4
6
8
10
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1.5532947557 7
1.5411264469 7.2
1.5297942314 7.4
1.5192109563 7.6
1.5093013388 7.8
1.5 8
1.4912498793 8.2
1.4830009441 8.4
1.4752091332 8.6
1.4678354861 8.8
1.4608454206 9
1.4542081304 9.2
1.4478960796 9.4
1.4418845765 9.6
1.4361514132 9.8
1.4306765581 10
1.4254418937 10.2
1.4204309915 10.4
1.4156289175 10.6
1.4110220651 10.8
1.4065980092 11
1.4023453795 11.2
1.3982537498 11.4
1.3943135413 11.6
1.3905159371 11.8
1.3868528072 12
1.3833166426 12.2
1.3799004957 12.4
1.3765979292 12.6
1.3734029688 12.8
1.3703100622 131.3673140421 13.2
1.364410093 13.4
1.3615937212 13.6
1.3588607283 13.8
1.3562071871 14
1.3536294195 14.2
1.3511239769 14.4
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1.3486876226 14.6
1.3463173154 14.8
1.3440101948 15
1.3417635676 15.2
1.3395748958 15.4
1.3374417856 15.6
1.3353619767 15.8
1.3333333333 16
1.3313538357 16.2
1.3294215719 16.4
1.3275347309 16.6
1.3256915958 16.8
1.3238905378 17
1.3221300102 17.2
1.3204085439 17.4
1.3187247416 17.6
1.3170772744 17.8
1.3154648768 18
1.3138863433 18.2
1.3123405247 18.4
1.3108263249 18.6
1.3093426979 18.8
1.3078886446 19
1.3064632105 19.2
1.3050654829 19.4
1.303694589 19.6
1.3023496932 19.8
1.3010299957 20
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4 6
n vs. A
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8 10
n
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A^n = 2A
then n=ln2A / lnA
2A lnA ln2A
0 0 Err:502 Err:502
0.1 0.2 -2.302585093 -1.6094379124
0.2 0.4 -1.6094379124 -0.9162907319
0.3 0.6 -1.2039728043 -0.5108256238
0.4 0.8 -0.9162907319 -0.2231435513
0.5 1 -0.6931471806 0
0.6 1.2 -0.5108256238 0.1823215568
0.7 1.4 -0.3566749439 0.3364722366
0.8 1.6 -0.2231435513 0.4700036292
0.9 1.8 -0.1053605157 0.5877866649
1 2 0 0.6931471806
1.1 2.2 0.0953101798 0.7884573604
1.2 2.4 0.1823215568 0.8754687374
1.3 2.6 0.2623642645 0.955511445
1.4 2.8 0.3364722366 1.0296194172
1.5 3 0.4054651081 1.0986122887
1.6 3.2 0.4700036292 1.1631508098
1.7 3.4 0.5306282511 1.2237754316
1.8 3.6 0.5877866649 1.2809338455
1.9 3.8 0.6418538862 1.3350010667
2 4 0.6931471806 1.3862943611
2.1 4.2 0.7419373447 1.4350845253
2.2 4.4 0.7884573604 1.4816045409
2.3 4.6 0.8329091229 1.5260563035
2.4 4.8 0.8754687374 1.5686159179
2.5 5 0.9162907319 1.6094379124
2.6 5.2 0.955511445 1.6486586256
2.7 5.4 0.993251773 1.68639895362.8 5.6 1.0296194172 1.7227665977
2.9 5.8 1.064710737 1.7578579176
3 6 1.0986122887 1.7917594692
3.1 6.2 1.1314021115 1.8245492921
3.2 6.4 1.1631508098 1.8562979904
3.3 6.6 1.1939224685 1.887069649
3.4 6.8 1.2237754316 1.9169226122
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3.5 7 1.2527629685 1.9459101491
3.6 7.2 1.2809338455 1.974081026
3.7 7.4 1.3083328197 2.0014800002
3.8 7.6 1.3350010667 2.0281482473
3.9 7.8 1.3609765531 2.0541237337
4 8 1.3862943611 2.0794415417
4.1 8.2 1.4109869737 2.1041341543
4.2 8.4 1.4350845253 2.1282317058
4.3 8.6 1.4586150227 2.1517622033
4.4 8.8 1.4816045409 2.1747517215
4.5 9 1.5040773968 2.1972245773
4.6 9.2 1.5260563035 2.2192034841
4.7 9.4 1.5475625087 2.2407096893
4.8 9.6 1.5686159179 2.2617630985
4.9 9.8 1.5892352051 2.2823823857
5 10 1.6094379124 2.302585093
5.1 10.2 1.6292405397 2.3223877203
5.2 10.4 1.6486586256 2.3418058061
5.3 10.6 1.6677068206 2.3608540011
5.4 10.8 1.6863989536 2.3795461341
5.5 11 1.7047480922 2.3978952728
5.6 11.2 1.7227665977 2.4159137783
5.7 11.4 1.7404661748 2.4336133554
5.8 11.6 1.7578579176 2.4510050981
5.9 11.8 1.7749523509 2.4680995315
6 12 1.7917594692 2.4849066498
6.1 12.2 1.8082887712 2.5014359517
6.2 12.4 1.8245492921 2.5176964726
6.3 12.6 1.8405496334 2.533696814
6.4 12.8 1.8562979904 2.5494451709
6.5 13 1.8718021769 2.56494935756.6 13.2 1.887069649 2.5802168296
6.7 13.4 1.9021075264 2.595254707
6.8 13.6 1.9169226122 2.6100697927
6.9 13.8 1.9315214116 2.6246685922
7 14 1.9459101491 2.6390573296
7.1 14.2 1.960094784 2.6532419646
7.2 14.4 1.974081026 2.6672282066
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7.3 14.6 1.9878743482 2.6810215287
7.4 14.8 2.0014800002 2.6946271808
7.5 15 2.0149030205 2.7080502011
7.6 15.2 2.0281482473 2.7212954279
7.7 15.4 2.0412203289 2.7343675094
7.8 15.6 2.0541237337 2.7472709143
7.9 15.8 2.0668627595 2.76000994
8 16 2.0794415417 2.7725887222
8.1 16.2 2.0918640617 2.7850112422
8.2 16.4 2.1041341543 2.7972813348
8.3 16.6 2.1162555148 2.8094026954
8.4 16.8 2.1282317058 2.8213788864
8.5 17 2.1400661635 2.8332133441
8.6 17.2 2.1517622033 2.8449093838
8.7 17.4 2.1633230257 2.8564702062
8.8 17.6 2.1747517215 2.867898902
8.9 17.8 2.1860512767 2.8791984573
9 18 2.1972245773 2.8903717579
9.1 18.2 2.2082744135 2.9014215941
9.2 18.4 2.2192034841 2.9123506646
9.3 18.6 2.2300144002 2.9231615807
9.4 18.8 2.2407096893 2.9338568698
9.5 19 2.2512917986 2.9444389792
9.6 19.2 2.2617630985 2.954910279
9.7 19.4 2.2721258855 2.9652730661
9.8 19.6 2.2823823857 2.9755295662
9.9 19.8 2.2925347571 2.9856819377
10 20 2.302585093 2.9957322736
10.1 20.2 2.3125354238 3.0056826044
10.2 20.4 2.3223877203 3.0155349009
10.3 20.6 2.3321438952 3.025291075810.4 20.8 2.3418058061 3.0349529867
10.5 21 2.3513752572 3.0445224377
10.6 21.2 2.3608540011 3.0540011817
10.7 21.4 2.3702437415 3.063390922
10.8 21.6 2.3795461341 3.0726933147
10.9 21.8 2.3887627892 3.0819099698
11 22 2.3978952728 3.0910424534
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11.1 22.2 2.4069451083 3.1000922889
11.2 22.4 2.4159137783 3.1090609589
11.3 22.6 2.4248027257 3.1179499063
11.4 22.8 2.4336133554 3.126760536
11.5 23 2.4423470354 3.1354942159
11.6 23.2 2.4510050981 3.1441522787
11.7 23.4 2.4595888418 3.1527360224
11.8 23.6 2.4680995315 3.161246712
11.9 23.8 2.4765384001 3.1696855807
12 24 2.4849066498 3.1780538303
12.1 24.2 2.4932054526 3.1863526332
12.2 24.4 2.5014359517 3.1945831323
12.3 24.6 2.5095992624 3.2027464429
12.4 24.8 2.5176964726 3.2108436532
12.5 25 2.5257286443 3.2188758249
12.6 25.2 2.533696814 3.2268439945
12.7 25.4 2.5416019935 3.234749174
12.8 25.6 2.5494451709 3.2425923515
12.9 25.8 2.5572273114 3.2503744919
13 26 2.5649493575 3.258096538
13.1 26.2 2.5726122302 3.2657594108
13.2 26.4 2.5802168296 3.2733640102
13.3 26.6 2.5877640352 3.2809112158
13.4 26.8 2.595254707 3.2884018875
13.5 27 2.6026896854 3.295836866
13.6 27.2 2.6100697927 3.3032169733
13.7 27.4 2.6173958328 3.3105430134
13.8 27.6 2.6246685922 3.3178157727
13.9 27.8 2.6318888401 3.3250360207
14 28 2.6390573296 3.3322045102
14.1 28.2 2.6461747974 3.339321977914.2 28.4 2.6532419646 3.3463891452
14.3 28.6 2.6602595373 3.3534067178
14.4 28.8 2.6672282066 3.3603753871
14.5 29 2.6741486494 3.36729583
14.6 29.2 2.6810215287 3.3741687093
14.7 29.4 2.6878474938 3.3809946743
14.8 29.6 2.6946271808 3.3877743613
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14.9 29.8 2.701361213 3.3945083935
15 30 2.7080502011 3.4011973817
15.1 30.2 2.7146947438 3.4078419244
15.2 30.4 2.7212954279 3.4144426084
15.3 30.6 2.7278528284 3.421000009
15.4 30.8 2.7343675094 3.42751469
15.5 31 2.7408400239 3.4339872045
15.6 31.2 2.7472709143 3.4404180948
15.7 31.4 2.7536607124 3.4468078929
15.8 31.6 2.76000994 3.4531571206
15.9 31.8 2.7663191092 3.4594662898
16 32 2.7725887222 3.4657359028
16.1 32.2 2.778819272 3.4719664526
16.2 32.4 2.7850112422 3.4781584228
16.3 32.6 2.7911651078 3.4843122884
16.4 32.8 2.7972813348 3.4904285154
16.5 33 2.8033603809 3.4965075615
16.6 33.2 2.8094026954 3.5025498759
16.7 33.4 2.8154087194 3.5085559
16.8 33.6 2.8213788864 3.514526067
16.9 33.8 2.8273136219 3.5204608025
17 34 2.8332133441 3.5263605246
17.1 34.2 2.8390784635 3.5322256441
17.2 34.4 2.8449093838 3.5380565644
17.3 34.6 2.8507065015 3.5438536821
17.4 34.8 2.8564702062 3.5496173868
17.5 35 2.8622008809 3.5553480615
17.6 35.2 2.867898902 3.5610460826
17.7 35.4 2.8735646396 3.5667118201
17.8 35.6 2.8791984573 3.5723456379
17.9 35.8 2.8848007128 3.577947893418 36 2.8903717579 3.5835189385
18.1 36.2 2.8959119383 3.5890591188
18.2 36.4 2.9014215941 3.5945687746
18.3 36.6 2.9069010598 3.6000482404
18.4 36.8 2.9123506646 3.6054978452
18.5 37 2.9177707321 3.6109179126
18.6 37.2 2.9231615807 3.6163087613
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18.7 37.4 2.9285235239 3.6216707044
18.8 37.6 2.9338568698 3.6270040504
18.9 37.8 2.9391619221 3.6323091026
19 38 2.9444389792 3.6375861597
19.1 38.2 2.9496883351 3.6428355156
19.2 38.4 2.954910279 3.6480574596
19.3 38.6 2.9601050959 3.6532522765
19.4 38.8 2.9652730661 3.6584202466
19.5 39 2.9704144656 3.6635616461
19.6 39.2 2.9755295662 3.6686767468
19.7 39.4 2.9806186357 3.6737658163
19.8 39.6 2.9856819377 3.6788291183
19.9 39.8 2.9907197317 3.6838669123
20 40 2.9957322736 3.6888794541
20.1 40.2 3.0007198151 3.6938669956
20.2 40.4 3.0056826044 3.698829785
20.3 40.6 3.010620886 3.7037680666
20.4 40.8 3.0155349009 3.7086820814
20.5 41 3.0204248861 3.7135720667
20.6 41.2 3.0252910758 3.7184382564
20.7 41.4 3.0301337003 3.7232808808
20.8 41.6 3.0349529867 3.7281001673
20.9 41.8 3.039749159 3.7328963395
21 42 3.0445224377 3.7376696183
21.1 42.2 3.0492730405 3.742420221
21.2 42.4 3.0540011817 3.7471483622
21.3 42.6 3.0587070727 3.7518542533
21.4 42.8 3.063390922 3.7565381026
21.5 43 3.0680529351 3.7612001157
21.6 43.2 3.0726933147 3.7658404953
21.7 43.4 3.0773122605 3.770459441121.8 43.6 3.0819099698 3.7750571504
21.9 43.8 3.0864866368 3.7796338174
22 44 3.0910424534 3.7841896339
22.1 44.2 3.0955776085 3.7887247891
22.2 44.4 3.1000922889 3.7932394694
22.3 44.6 3.1045866785 3.797733859
22.4 44.8 3.1090609589 3.8022081394
-
8/19/2019 y = ln (kx) / ln (k)
19/443
22.5 45 3.1135153092 3.8066624898
22.6 45.2 3.1179499063 3.8110970868
22.7 45.4 3.1223649245 3.815512105
22.8 45.6 3.126760536 3.8199077165
22.9 45.8 3.1311369106 3.8242840911
23 46 3.1354942159 3.8286413965
23.1 46.2 3.1398326175 3.8329797981
23.2 46.4 3.1441522787 3.8372994592
23.3 46.6 3.1484533606 3.8416005411
23.4 46.8 3.1527360224 3.8458832029
23.5 47 3.1570004212 3.8501476017
23.6 47.2 3.161246712 3.8543938926
23.7 47.4 3.1654750481 3.8586222287
23.8 47.6 3.1696855807 3.8628327612
23.9 47.8 3.1738784589 3.8670256395
24 48 3.1780538303 3.8712010109
24.1 48.2 3.1822118405 3.8753590211
24.2 48.4 3.1863526332 3.8794998137
24.3 48.6 3.1904763503 3.8836235309
24.4 48.8 3.1945831323 3.8877303129
24.5 49 3.1986731176 3.8918202981
24.6 49.2 3.2027464429 3.8958936235
24.7 49.4 3.2068032436 3.8999504242
24.8 49.6 3.2108436532 3.9039908337
24.9 49.8 3.2148678035 3.908014984
25 50 3.2188758249 3.9120230054
25.1 50.2 3.2228678461 3.9160150267
25.2 50.4 3.2268439945 3.9199911751
25.3 50.6 3.2308043957 3.9239515763
25.4 50.8 3.234749174 3.9278963546
25.5 51 3.2386784522 3.931825632725.6 51.2 3.2425923515 3.935739532
25.7 51.4 3.2464909919 3.9396381725
25.8 51.6 3.2503744919 3.9435216725
25.9 51.8 3.2542429687 3.9473901493
26 52 3.258096538 3.9512437186
26.1 52.2 3.2619353143 3.9550824949
26.2 52.4 3.2657594108 3.9589065913
-
8/19/2019 y = ln (kx) / ln (k)
20/443
26.3 52.6 3.2695689392 3.9627161197
26.4 52.8 3.2733640102 3.9665111907
26.5 53 3.277144733 3.9702919136
26.6 53.2 3.2809112158 3.9740583963
26.7 53.4 3.2846635654 3.977810746
26.8 53.6 3.2884018875 3.9815490681
26.9 53.8 3.2921262866 3.9852734672
27 54 3.295836866 3.9889840466
27.1 54.2 3.2995337279 3.9926809084
27.2 54.4 3.3032169733 3.9963641539
27.3 54.6 3.3068867022 4.0000338828
27.4 54.8 3.3105430134 4.003690194
27.5 55 3.3141860047 4.0073331852
27.6 55.2 3.3178157727 4.0109629533
27.7 55.4 3.3214324132 4.0145795938
27.8 55.6 3.3250360207 4.0181832013
27.9 55.8 3.3286266888 4.0217738694
28 56 3.3322045102 4.0253516907
28.1 56.2 3.3357695763 4.0289167569
28.2 56.4 3.3393219779 4.0324691585
28.3 56.6 3.3428618046 4.0360089852
28.4 56.8 3.3463891452 4.0395363257
28.5 57 3.3499040873 4.0430512678
28.6 57.2 3.3534067178 4.0465538984
28.7 57.4 3.3568971228 4.0500443033
28.8 57.6 3.3603753871 4.0535225677
28.9 57.8 3.3638415951 4.0569887757
29 58 3.36729583 4.0604430105
29.1 58.2 3.3707381742 4.0638853547
29.2 58.4 3.3741687093 4.0673158898
29.3 58.6 3.377587516 4.070734696629.4 58.8 3.3809946743 4.0741418549
29.5 59 3.3843902633 4.0775374439
29.6 59.2 3.3877743613 4.0809215419
29.7 59.4 3.3911470458 4.0842942264
29.8 59.6 3.3945083935 4.0876555741
29.9 59.8 3.3978584804 4.091005661
30 60 3.4011973817 4.0943445622
-
8/19/2019 y = ln (kx) / ln (k)
21/443
30.1 60.2 3.4045251718 4.0976723523
30.2 60.4 3.4078419244 4.1009891049
30.3 60.6 3.4111477125 4.1042948931
30.4 60.8 3.4144426084 4.107589789
30.5 61 3.4177266836 4.1108738642
30.6 61.2 3.421000009 4.1141471895
30.7 61.4 3.4242626546 4.1174098352
30.8 61.6 3.42751469 4.1206618705
30.9 61.8 3.4307561839 4.1239033645
31 62 3.4339872045 4.127134385
31.1 62.2 3.4372078192 4.1303549997
31.2 62.4 3.4404180948 4.1335652754
31.3 62.6 3.4436180975 4.1367652781
31.4 62.8 3.4468078929 4.1399550735
31.5 63 3.4499875458 4.1431347264
31.6 63.2 3.4531571206 4.1463043012
31.7 63.4 3.4563166809 4.1494638614
31.8 63.6 3.4594662898 4.1526134703
31.9 63.8 3.4626060098 4.1557531904
32 64 3.4657359028 4.1588830834
32.1 64.2 3.4688560301 4.1620032107
32.2 64.4 3.4719664526 4.1651136331
32.3 64.6 3.4750672302 4.1682144108
32.4 64.8 3.4781584228 4.1713056034
32.5 65 3.4812400893 4.1743872699
32.6 65.2 3.4843122884 4.1774594689
32.7 65.4 3.4873750779 4.1805222585
32.8 65.6 3.4904285154 4.183575696
32.9 65.8 3.4934726578 4.1866198383
33 66 3.4965075615 4.189654742
33.1 66.2 3.4995332824 4.192680462933.2 66.4 3.5025498759 4.1956970565
33.3 66.6 3.505557397 4.1987045775
33.4 66.8 3.5085559 4.2017030805
33.5 67 3.5115454388 4.2046926194
33.6 67.2 3.514526067 4.2076732475
33.7 67.4 3.5174978374 4.2106450179
33.8 67.6 3.5204608025 4.213607983
-
8/19/2019 y = ln (kx) / ln (k)
22/443
33.9 67.8 3.5234150144 4.2165621949
34 68 3.5263605246 4.2195077052
34.1 68.2 3.5292973843 4.2224445648
34.2 68.4 3.5322256441 4.2253728246
34.3 68.6 3.5351453542 4.2282925347
34.4 68.8 3.5380565644 4.2312037449
34.5 69 3.540959324 4.2341065046
34.6 69.2 3.5438536821 4.2370008626
34.7 69.4 3.546739687 4.2398868675
34.8 69.6 3.5496173868 4.2427645673
34.9 69.8 3.5524868292 4.2456340098
35 70 3.5553480615 4.248495242
35.1 70.2 3.5582011305 4.251348311
35.2 70.4 3.5610460826 4.2541932632
35.3 70.6 3.5638829639 4.2570301445
35.4 70.8 3.5667118201 4.2598590007
35.5 71 3.5695326965 4.262679877
35.6 71.2 3.5723456379 4.2654928184
35.7 71.4 3.5751506888 4.2682978693
35.8 71.6 3.5779478934 4.271095074
35.9 71.8 3.5807372955 4.2738844761
36 72 3.5835189385 4.276666119
36.1 72.2 3.5862928653 4.2794400459
36.2 72.4 3.5890591188 4.2822062994
36.3 72.6 3.5918177413 4.2849649218
36.4 72.8 3.5945687746 4.2877159552
36.5 73 3.5973122606 4.2904594411
36.6 73.2 3.6000482404 4.293195421
36.7 73.4 3.6027767551 4.2959239356
36.8 73.6 3.6054978452 4.2986450257
36.9 73.8 3.608211551 4.301358731637 74 3.6109179126 4.3040650932
37.1 74.2 3.6136169696 4.3067641502
37.2 74.4 3.6163087613 4.3094559418
37.3 74.6 3.6189933266 4.3121405072
37.4 74.8 3.6216707044 4.314817885
37.5 75 3.624340933 4.3174881135
37.6 75.2 3.6270040504 4.320151231
-
8/19/2019 y = ln (kx) / ln (k)
23/443
37.7 75.4 3.6296600945 4.322807275
37.8 75.6 3.6323091026 4.3254562832
37.9 75.8 3.6349511121 4.3280982926
38 76 3.6375861597 4.3307333403
38.1 76.2 3.6402142821 4.3333614627
38.2 76.4 3.6428355156 4.3359826962
38.3 76.6 3.6454498962 4.3385970767
38.4 76.8 3.6480574596 4.3412046402
38.5 77 3.6506582413 4.3438054219
38.6 77.2 3.6532522765 4.346399457
38.7 77.4 3.6558396 4.3489867806
38.8 77.6 3.6584202466 4.3515674272
38.9 77.8 3.6609942506 4.3541414312
39 78 3.6635616461 4.3567088267
39.1 78.2 3.666122467 4.3592696476
39.2 78.4 3.6686767468 4.3618239274
39.3 78.6 3.6712245189 4.3643716994
39.4 78.8 3.6737658163 4.3669129969
39.5 79 3.6763006719 4.3694478525
39.6 79.2 3.6788291183 4.3719762988
39.7 79.4 3.6813511877 4.3744983683
39.8 79.6 3.6838669123 4.3770140929
39.9 79.8 3.6863763239 4.3795235045
40 80 3.6888794541 4.3820266347
40.1 80.2 3.6913763343 4.3845235149
40.2 80.4 3.6938669956 4.3870141762
40.3 80.6 3.696351469 4.3894986495
40.4 80.8 3.698829785 4.3919769655
40.5 81 3.7013019741 4.3944491547
40.6 81.2 3.7037680666 4.3969152472
40.7 81.4 3.7062280924 4.39937527340.8 81.6 3.7086820814 4.401829262
40.9 81.8 3.711130063 4.4042772436
41 82 3.7135720667 4.4067192473
41.1 82.2 3.7160081215 4.4091553021
41.2 82.4 3.7184382564 4.4115854369
41.3 82.6 3.7208625 4.4140096805
41.4 82.8 3.7232808808 4.4164280614
-
8/19/2019 y = ln (kx) / ln (k)
24/443
41.5 83 3.7256934272 4.4188406078
41.6 83.2 3.7281001673 4.4212473478
41.7 83.4 3.7305011288 4.4236483094
41.8 83.6 3.7328963395 4.4260435201
41.9 83.8 3.7352858269 4.4284330075
42 84 3.7376696183 4.4308167988
42.1 84.2 3.7400477407 4.4331949212
42.2 84.4 3.742420221 4.4355674016
42.3 84.6 3.7447870861 4.4379342666
42.4 84.8 3.7471483622 4.4402955428
42.5 85 3.7495040759 4.4426512565
42.6 85.2 3.7518542533 4.4450014338
42.7 85.4 3.7541989202 4.4473461008
42.8 85.6 3.7565381026 4.4496852831
42.9 85.8 3.7588718259 4.4520190065
43 86 3.7612001157 4.4543472963
43.1 86.2 3.7635229971 4.4566701777
43.2 86.4 3.7658404953 4.4589876758
43.3 86.6 3.768152635 4.4612998156
43.4 86.8 3.7704594411 4.4636066217
43.5 87 3.7727609381 4.4659081187
43.6 87.2 3.7750571504 4.4682043309
43.7 87.4 3.7773481021 4.4704952827
43.8 87.6 3.7796338174 4.4727809979
43.9 87.8 3.7819143201 4.4750615006
44 88 3.7841896339 4.4773368145
44.1 88.2 3.7864597825 4.479606963
44.2 88.4 3.7887247891 4.4818719696
44.3 88.6 3.7909846771 4.4841318576
44.4 88.8 3.7932394694 4.48638665
44.5 89 3.7954891892 4.488636369744.6 89.2 3.797733859 4.4908810396
44.7 89.4 3.7999735016 4.4931206822
44.8 89.6 3.8022081394 4.49535532
44.9 89.8 3.8044377947 4.4975849753
45 90 3.8066624898 4.4998096703
45.1 90.2 3.8088822465 4.5020294271
45.2 90.4 3.8110970868 4.5042442674
-
8/19/2019 y = ln (kx) / ln (k)
25/443
45.3 90.6 3.8133070325 4.506454213
45.4 90.8 3.815512105 4.5086592856
45.5 91 3.817712326 4.5108595065
45.6 91.2 3.8199077165 4.5130548971
45.7 91.4 3.8220982979 4.5152454785
45.8 91.6 3.8242840911 4.5174312717
45.9 91.8 3.8264651171 4.5196122976
46 92 3.8286413965 4.521788577
46.1 92.2 3.83081295 4.5239601306
46.2 92.4 3.8329797981 4.5261269786
46.3 92.6 3.8351419611 4.5282891417
46.4 92.8 3.8372994592 4.5304466398
46.5 93 3.8394523126 4.5325994932
46.6 93.2 3.8416005411 4.5347477217
46.7 93.4 3.8437441647 4.5368913452
46.8 93.6 3.8458832029 4.5390303835
46.9 93.8 3.8480176755 4.541164856
47 94 3.8501476017 4.5432947823
47.1 94.2 3.852273001 4.5454201816
47.2 94.4 3.8543938926 4.5475410732
47.3 94.6 3.8565102955 4.5496574761
47.4 94.8 3.8586222287 4.5517694093
47.5 95 3.860729711 4.5538768916
47.6 95.2 3.8628327612 4.5559799418
47.7 95.4 3.8649313979 4.5580785785
47.8 95.6 3.8670256395 4.5601728201
47.9 95.8 3.8691155044 4.562262685
48 96 3.8712010109 4.5643481915
48.1 96.2 3.8732821771 4.5664293577
48.2 96.4 3.8753590211 4.5685062016
48.3 96.6 3.8774315607 4.570578741248.4 96.8 3.8794998137 4.5726469943
48.5 97 3.8815637979 4.5747109785
48.6 97.2 3.8836235309 4.5767707115
48.7 97.4 3.8856790301 4.5788262106
48.8 97.6 3.8877303129 4.5808774934
48.9 97.8 3.8897773965 4.582924577
49 98 3.8918202981 4.5849674787
-
8/19/2019 y = ln (kx) / ln (k)
26/443
49.1 98.2 3.8938590348 4.5870062154
49.2 98.4 3.8958936235 4.5890408041
49.3 98.6 3.897924081 4.5910712616
49.4 98.8 3.8999504242 4.5930976048
49.5 99 3.9019726696 4.5951198501
49.6 99.2 3.9039908337 4.5971380143
49.7 99.4 3.9060049331 4.5991521137
49.8 99.6 3.908014984 4.6011621646
49.9 99.8 3.9100210028 4.6031681833
50 100 3.9120230054 4.605170186
50.1 100.2 3.9140210081 4.6071681887
50.2 100.4 3.9160150267 4.6091622073
50.3 100.6 3.9180050771 4.6111522577
50.4 100.8 3.9199911751 4.6131383556
50.5 101 3.9219733363 4.6151205168
50.6 101.2 3.9239515763 4.6170987569
50.7 101.4 3.9259259106 4.6190730912
50.8 101.6 3.9278963546 4.6210435351
50.9 101.8 3.9298629236 4.6230101041
51 102 3.9318256327 4.6249728133
51.1 102.2 3.9337844972 4.6269316778
51.2 102.4 3.935739532 4.6288867126
51.3 102.6 3.9376907522 4.6308379327
51.4 102.8 3.9396381725 4.632785353
51.5 103 3.9415818077 4.6347289882
51.6 103.2 3.9435216725 4.636668853
51.7 103.4 3.9454577815 4.6386049621
51.8 103.6 3.9473901493 4.6405373298
51.9 103.8 3.9493187902 4.6424659707
52 104 3.9512437186 4.6443908991
52.1 104.2 3.9531649488 4.646312129352.2 104.4 3.9550824949 4.6482296754
52.3 104.6 3.9569963711 4.6501435516
52.4 104.8 3.9589065913 4.6520537719
52.5 105 3.9608131696 4.6539603502
52.6 105.2 3.9627161197 4.6558633003
52.7 105.4 3.9646154555 4.6577626361
52.8 105.6 3.9665111907 4.6596583713
-
8/19/2019 y = ln (kx) / ln (k)
27/443
52.9 105.8 3.9684033389 4.6615505194
53 106 3.9702919136 4.6634390941
53.1 106.2 3.9721769282 4.6653241088
53.2 106.4 3.9740583963 4.6672055769
53.3 106.6 3.9759363312 4.6690835117
53.4 106.8 3.977810746 4.6709579265
53.5 107 3.9796816539 4.6728288345
53.6 107.2 3.9815490681 4.6746962486
53.7 107.4 3.9834130015 4.6765601821
53.8 107.6 3.9852734672 4.6784206477
53.9 107.8 3.9871304779 4.6802776585
54 108 3.9889840466 4.6821312271
54.1 108.2 3.9908341859 4.6839813664
54.2 108.4 3.9926809084 4.685828089
54.3 108.6 3.9945242269 4.6876714075
54.4 108.8 3.9963641539 4.6895113344
54.5 109 3.9982007017 4.6913478822
54.6 109.2 4.0000338828 4.6931810633
54.7 109.4 4.0018637094 4.69501089
54.8 109.6 4.003690194 4.6968373745
54.9 109.8 4.0055133485 4.6986605291
55 110 4.0073331852 4.7004803658
55.1 110.2 4.0091497162 4.7022968967
55.2 110.4 4.0109629533 4.7041101338
55.3 110.6 4.0127729085 4.7059200891
55.4 110.8 4.0145795938 4.7077267743
55.5 111 4.0163830208 4.7095302013
55.6 111.2 4.0181832013 4.7113303818
55.7 111.4 4.0199801469 4.7131273275
55.8 111.6 4.0217738694 4.7149210499
55.9 111.8 4.0235643802 4.716711560756 112 4.0253516907 4.7184988713
56.1 112.2 4.0271358125 4.7202829931
56.2 112.4 4.0289167569 4.7220639375
56.3 112.6 4.0306945351 4.7238417157
56.4 112.8 4.0324691585 4.7256163391
56.5 113 4.0342406382 4.7273878187
56.6 113.2 4.0360089852 4.7291561658
-
8/19/2019 y = ln (kx) / ln (k)
28/443
56.7 113.4 4.0377742107 4.7309213913
56.8 113.6 4.0395363257 4.7326835063
56.9 113.8 4.0412953411 4.7344425217
57 114 4.0430512678 4.7361984484
57.1 114.2 4.0448041167 4.7379512972
57.2 114.4 4.0465538984 4.7397010789
57.3 114.6 4.0483006237 4.7414478043
57.4 114.8 4.0500443033 4.7431914839
57.5 115 4.0517849478 4.7449321284
57.6 115.2 4.0535225677 4.7466697483
57.7 115.4 4.0552571735 4.7484043541
57.8 115.6 4.0569887757 4.7501359562
57.9 115.8 4.0587173846 4.7518645651
58 116 4.0604430105 4.7535901911
58.1 116.2 4.0621656639 4.7553128444
58.2 116.4 4.0638853547 4.7570325353
58.3 116.6 4.0656020934 4.7587492739
58.4 116.8 4.0673158898 4.7604630704
58.5 117 4.0690267542 4.7621739348
58.6 117.2 4.0707346966 4.7638818771
58.7 117.4 4.0724397268 4.7655869074
58.8 117.6 4.0741418549 4.7672890355
58.9 117.8 4.0758410907 4.7689882712
59 118 4.0775374439 4.7706846245
59.1 118.2 4.0792309244 4.772378105
59.2 118.4 4.0809215419 4.7740687224
59.3 118.6 4.082609306 4.7757564866
59.4 118.8 4.0842942264 4.7774414069
59.5 119 4.0859763126 4.7791234931
59.6 119.2 4.0876555741 4.7808027546
59.7 119.4 4.0893320204 4.78247920159.8 119.6 4.091005661 4.7841528415
59.9 119.8 4.0926765051 4.7858236857
60 120 4.0943445622 4.7874917428
60.1 120.2 4.0960098415 4.7891570221
60.2 120.4 4.0976723523 4.7908195329
60.3 120.6 4.0993321037 4.7924792843
60.4 120.8 4.1009891049 4.7941362855
-
8/19/2019 y = ln (kx) / ln (k)
29/443
60.5 121 4.102643365 4.7957905456
60.6 121.2 4.1042948931 4.7974420736
60.7 121.4 4.1059436981 4.7990908786
60.8 121.6 4.107589789 4.8007369695
60.9 121.8 4.1092331747 4.8023803553
61 122 4.1108738642 4.8040210447
61.1 122.2 4.1125118662 4.8056590467
61.2 122.4 4.1141471895 4.8072943701
61.3 122.6 4.1157798429 4.8089270235
61.4 122.8 4.1174098352 4.8105570157
61.5 123 4.1190371748 4.8121843554
61.6 123.2 4.1206618705 4.8138090511
61.7 123.4 4.1222839309 4.8154311115
61.8 123.6 4.1239033645 4.817050545
61.9 123.8 4.1255201797 4.8186673603
62 124 4.127134385 4.8202815656
62.1 124.2 4.1287459889 4.8218931695
62.2 124.4 4.1303549997 4.8235021803
62.3 124.6 4.1319614258 4.8251086064
62.4 124.8 4.1335652754 4.8267124559
62.5 125 4.1351665567 4.8283137373
62.6 125.2 4.1367652781 4.8299124587
62.7 125.4 4.1383614476 4.8315086282
62.8 125.6 4.1399550735 4.833102254
62.9 125.8 4.1415461637 4.8346933443
63 126 4.1431347264 4.836281907
63.1 126.2 4.1447207695 4.8378679501
63.2 126.4 4.1463043012 4.8394514817
63.3 126.6 4.1478853292 4.8410325097
63.4 126.8 4.1494638614 4.842611042
63.5 127 4.1510399059 4.844187086563.6 127.2 4.1526134703 4.8457606509
63.7 127.4 4.1541845626 4.8473317431
63.8 127.6 4.1557531904 4.8489003709
63.9 127.8 4.1573193614 4.8504665419
64 128 4.1588830834 4.8520302639
64.1 128.2 4.1604443639 4.8535915445
64.2 128.4 4.1620032107 4.8551503913
-
8/19/2019 y = ln (kx) / ln (k)
30/443
64.3 128.6 4.1635596312 4.8567068118
64.4 128.8 4.1651136331 4.8582608137
64.5 129 4.1666652238 4.8598124044
64.6 129.2 4.1682144108 4.8613615913
64.7 129.4 4.1697612015 4.8629083821
64.8 129.6 4.1713056034 4.8644527839
64.9 129.8 4.1728476237 4.8659948043
65 130 4.1743872699 4.8675344505
65.1 130.2 4.1759245492 4.8690717298
65.2 130.4 4.1774594689 4.8706066495
65.3 130.6 4.1789920363 4.8721392168
65.4 130.8 4.1805222585 4.873669439
65.5 131 4.1820501426 4.8751973232
65.6 131.2 4.183575696 4.8767228765
65.7 131.4 4.1850989255 4.8782461061
65.8 131.6 4.1866198383 4.8797670189
65.9 131.8 4.1881384415 4.8812856221
66 132 4.189654742 4.8828019226
66.1 132.2 4.1911687469 4.8843159274
66.2 132.4 4.1926804629 4.8858276435
66.3 132.6 4.1941898972 4.8873370778
66.4 132.8 4.1956970565 4.888844237
66.5 133 4.1972019477 4.8903491282
66.6 133.2 4.1987045775 4.8918517581
66.7 133.4 4.2002049529 4.8933521335
66.8 133.6 4.2017030805 4.8948502611
66.9 133.8 4.2031989671 4.8963461477
67 134 4.2046926194 4.8978398
67.1 134.2 4.206184044 4.8993312245
67.2 134.4 4.2076732475 4.9008204281
67.3 134.6 4.2091602367 4.902307417267.4 134.8 4.2106450179 4.9037921985
67.5 135 4.2121275979 4.9052747784
67.6 135.2 4.213607983 4.9067551636
67.7 135.4 4.2150861799 4.9082333605
67.8 135.6 4.2165621949 4.9097093755
67.9 135.8 4.2180360346 4.9111832151
68 136 4.2195077052 4.9126548857
-
8/19/2019 y = ln (kx) / ln (k)
31/443
68.1 136.2 4.2209772132 4.9141243937
68.2 136.4 4.2224445648 4.9155917454
68.3 136.6 4.2239097666 4.9170569471
68.4 136.8 4.2253728246 4.9185200052
68.5 137 4.2268337453 4.9199809258
68.6 137.2 4.2282925347 4.9214397153
68.7 137.4 4.2297491992 4.9228963798
68.8 137.6 4.2312037449 4.9243509255
68.9 137.8 4.232656178 4.9258033586
69 138 4.2341065046 4.9272536852
69.1 138.2 4.2355547308 4.9287019113
69.2 138.4 4.2370008626 4.9301480432
69.3 138.6 4.2384449062 4.9315920868
69.4 138.8 4.2398868675 4.9330340481
69.5 139 4.2413267526 4.9344739331
69.6 139.2 4.2427645673 4.9359117479
69.7 139.4 4.2442003178 4.9373474983
69.8 139.6 4.2456340098 4.9387811903
69.9 139.8 4.2470656492 4.9402128298
70 140 4.248495242 4.9416424226
70.1 140.2 4.249922794 4.9430699746
70.2 140.4 4.251348311 4.9444954916
70.3 140.6 4.2527717988 4.9459189794
70.4 140.8 4.2541932632 4.9473404437
70.5 141 4.2556127098 4.9487598904
70.6 141.2 4.2570301445 4.9501773251
70.7 141.4 4.2584455729 4.9515927535
70.8 141.6 4.2598590007 4.9530061813
70.9 141.8 4.2612704335 4.9544176141
71 142 4.262679877 4.9558270576
71.1 142.2 4.2640873368 4.957234517471.2 142.4 4.2654928184 4.958639999
71.3 142.6 4.2668963274 4.960043508
71.4 142.8 4.2682978693 4.9614450499
71.5 143 4.2696974497 4.9628446303
71.6 143.2 4.271095074 4.9642422545
71.7 143.4 4.2724907476 4.9656379282
71.8 143.6 4.2738844761 4.9670316566
-
8/19/2019 y = ln (kx) / ln (k)
32/443
71.9 143.8 4.2752762647 4.9684234453
72 144 4.276666119 4.9698132996
72.1 144.2 4.2780540443 4.9712012249
72.2 144.4 4.2794400459 4.9725872265
72.3 144.6 4.2808241292 4.9739713097
72.4 144.8 4.2822062994 4.97535348
72.5 145 4.2835865619 4.9767337424
72.6 145.2 4.2849649218 4.9781121024
72.7 145.4 4.2863413845 4.9794885651
72.8 145.6 4.2877159552 4.9808631358
72.9 145.8 4.289088639 4.9822358196
73 146 4.2904594411 4.9836066217
73.1 146.2 4.2918283668 4.9849755473
73.2 146.4 4.293195421 4.9863426015
73.3 146.6 4.2945606089 4.9877077895
73.4 146.8 4.2959239356 4.9890711162
73.5 147 4.2972854062 4.9904325868
73.6 147.2 4.2986450257 4.9917922063
73.7 147.4 4.3000027992 4.9931499798
73.8 147.6 4.3013587316 4.9945059122
73.9 147.8 4.302712828 4.9958600085
74 148 4.3040650932 4.9972122738
74.1 148.2 4.3054155323 4.9985627129
74.2 148.4 4.3067641502 4.9999113307
74.3 148.6 4.3081109517 5.0012581323
74.4 148.8 4.3094559418 5.0026031224
74.5 149 4.3107991254 5.0039463059
74.6 149.2 4.3121405072 5.0052876878
74.7 149.4 4.3134800921 5.0066272727
74.8 149.6 4.314817885 5.0079650655
74.9 149.8 4.3161538905 5.009301071175 150 4.3174881135 5.0106352941
75.1 150.2 4.3188205588 5.0119677393
75.2 150.4 4.320151231 5.0132984115
75.3 150.6 4.3214801348 5.0146273154
75.4 150.8 4.322807275 5.0159544556
75.5 151 4.3241326563 5.0172798368
75.6 151.2 4.3254562832 5.0186034637
-
8/19/2019 y = ln (kx) / ln (k)
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75.7 151.4 4.3267781604 5.019925341
75.8 151.6 4.3280982926 5.0212454732
75.9 151.8 4.3294166844 5.022563865
76 152 4.3307333403 5.0238805208
76.1 152.2 4.3320482649 5.0251954454
76.2 152.4 4.3333614627 5.0265086433
76.3 152.6 4.3346729383 5.0278201189
76.4 152.8 4.3359826962 5.0291298767
76.5 153 4.3372907408 5.0304379214
76.6 153.2 4.3385970767 5.0317442573
76.7 153.4 4.3399017084 5.0330488889
76.8 153.6 4.3412046402 5.0343518207
76.9 153.8 4.3425058765 5.0356530571
77 154 4.3438054219 5.0369526024
77.1 154.2 4.3451032806 5.0382504611
77.2 154.4 4.346399457 5.0395466376
77.3 154.6 4.3476939556 5.0408411362
77.4 154.8 4.3489867806 5.0421339612
77.5 155 4.3502779364 5.0434251169
77.6 155.2 4.3515674272 5.0447146077
77.7 155.4 4.3528552574 5.0460024379
77.8 155.6 4.3541414312 5.0472886117
77.9 155.8 4.3554259529 5.0485731334
78 156 4.3567088267 5.0498560072
78.1 156.2 4.3579900568 5.0511372374
78.2 156.4 4.3592696476 5.0524168281
78.3 156.6 4.360547603 5.0536947836
78.4 156.8 4.3618239274 5.0549711079
78.5 157 4.3630986248 5.0562458053
78.6 157.2 4.3643716994 5.05751888
78.7 157.4 4.3656431554 5.05879033678.8 157.6 4.3669129969 5.0600601774
78.9 157.8 4.3681812279 5.0613284084
79 158 4.3694478525 5.062595033
79.1 158.2 4.3707128748 5.0638600553
79.2 158.4 4.3719762988 5.0651234794
79.3 158.6 4.3732381286 5.0663853092
79.4 158.8 4.3744983683 5.0676455488
-
8/19/2019 y = ln (kx) / ln (k)
34/443
79.5 159 4.3757570217 5.0689042022
79.6 159.2 4.3770140929 5.0701612734
79.7 159.4 4.3782695858 5.0714167664
79.8 159.6 4.3795235045 5.072670685
79.9 159.8 4.3807758528 5.0739230333
80 160 4.3820266347 5.0751738152
80.1 160.2 4.3832758541 5.0764230346
80.2 160.4 4.3845235149 5.0776706954
80.3 160.6 4.385769621 5.0789168015
80.4 160.8 4.3870141762 5.0801613567
80.5 161 4.3882571844 5.081404365
80.6 161.2 4.3894986495 5.0826458301
80.7 161.4 4.3907385753 5.0838857558
80.8 161.6 4.3919769655 5.0851241461
80.9 161.8 4.3932138241 5.0863610046
81 162 4.3944491547 5.0875963352
81.1 162.2 4.3956829611 5.0888301417
81.2 162.4 4.3969152472 5.0900624277
81.3 162.6 4.3981460166 5.0912931971
81.4 162.8 4.399375273 5.0925224536
81.5 163 4.4006030202 5.0937502008
81.6 163.2 4.401829262 5.0949764425
81.7 163.4 4.4030540019 5.0962011824
81.8 163.6 4.4042772436 5.0974244242
81.9 163.8 4.4054989909 5.0986461714
82 164 4.4067192473 5.0998664278
82.1 164.2 4.4079380165 5.101085197
82.2 164.4 4.4091553021 5.1023024826
82.3 164.6 4.4103711077 5.1035182882
82.4 164.8 4.4115854369 5.1047326175
82.5 165 4.4127982933 5.105945473982.6 165.2 4.4140096805 5.1071568611
82.7 165.4 4.415219602 5.1083667826
82.8 165.6 4.4164280614 5.109575242
82.9 165.8 4.4176350621 5.1107822427
83 166 4.4188406078 5.1119877884
83.1 166.2 4.4200447019 5.1131918824
83.2 166.4 4.4212473478 5.1143945284
-
8/19/2019 y = ln (kx) / ln (k)
35/443
83.3 166.6 4.4224485492 5.1155957297
83.4 166.8 4.4236483094 5.1167954899
83.5 167 4.4248466319 5.1179938124
83.6 167.2 4.4260435201 5.1191907007
83.7 167.4 4.4272389775 5.1203861581
83.8 167.6 4.4284330075 5.121580188
83.9 167.8 4.4296256135 5.122772794
84 168 4.4308167988 5.1239639794
84.1 168.2 4.432006567 5.1251537475
84.2 168.4 4.4331949212 5.1263421018
84.3 168.6 4.434381865 5.1275290456
84.4 168.8 4.4355674016 5.1287145822
84.5 169 4.4367515344 5.1298987149
84.6 169.2 4.4379342666 5.1310814472
84.7 169.4 4.4391156017 5.1322627822
84.8 169.6 4.4402955428 5.1334427234
84.9 169.8 4.4414740933 5.1346212739
85 170 4.4426512565 5.1357984371
85.1 170.2 4.4438270356 5.1369742161
85.2 170.4 4.4450014338 5.1381486144
85.3 170.6 4.4461744545 5.1393216351
85.4 170.8 4.4473461008 5.1404932814
85.5 171 4.4485163759 5.1416635565
85.6 171.2 4.4496852831 5.1428324637
85.7 171.4 4.4508528256 5.1440000062
85.8 171.6 4.4520190065 5.1451661871
85.9 171.8 4.453183829 5.1463310096
86 172 4.4543472963 5.1474944768
86.1 172.2 4.4555094114 5.148656592
86.2 172.4 4.4566701777 5.1498173582
86.3 172.6 4.4578295981 5.150976778686.4 172.8 4.4589876758 5.1521348564
86.5 173 4.4601444139 5.1532915945
86.6 173.2 4.4612998156 5.1544469961
86.7 173.4 4.4624538838 5.1556010643
86.8 173.6 4.4636066217 5.1567538022
86.9 173.8 4.4647580323 5.1579052128
87 174 4.4659081187 5.1590552992
-
8/19/2019 y = ln (kx) / ln (k)
36/443
87.1 174.2 4.4670568839 5.1602040644
87.2 174.4 4.4682043309 5.1613515115
87.3 174.6 4.4693504628 5.1624976434
87.4 174.8 4.4704952827 5.1636424632
87.5 175 4.4716387934 5.1647859739
87.6 175.2 4.4727809979 5.1659281785
87.7 175.4 4.4739218994 5.1670690799
87.8 175.6 4.4750615006 5.1682086812
87.9 175.8 4.4761998047 5.1693469853
88 176 4.4773368145 5.170483995
88.1 176.2 4.4784725329 5.1716197135
88.2 176.4 4.479606963 5.1727541436
88.3 176.6 4.4807401076 5.1738872882
88.4 176.8 4.4818719696 5.1750191502
88.5 177 4.483002552 5.1761497326
88.6 177.2 4.4841318576 5.1772790382
88.7 177.4 4.4852598893 5.1784070699
88.8 177.6 4.48638665 5.1795338306
88.9 177.8 4.4875121425 5.1806593231
89 178 4.4886363697 5.1817835503
89.1 178.2 4.4897593345 5.182906515
89.2 178.4 4.4908810396 5.1840282201
89.3 178.6 4.4920014879 5.1851486684
89.4 178.8 4.4931206822 5.1862678627
89.5 179 4.4942386253 5.1873858058
89.6 179.2 4.49535532 5.1885025005
89.7 179.4 4.4964707691 5.1896179496
89.8 179.6 4.4975849753 5.1907321559
89.9 179.8 4.4986979415 5.191845122
90 180 4.4998096703 5.1929568509
90.1 180.2 4.5009201646 5.194067345290.2 180.4 4.5020294271 5.1951766076
90.3 180.6 4.5031374604 5.196284641
90.4 180.8 4.5042442674 5.197391448
90.5 181 4.5053498507 5.1984970313
90.6 181.2 4.506454213 5.1996013936
90.7 181.4 4.5075573571 5.2007045377
90.8 181.6 4.5086592856 5.2018064662
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8/19/2019 y = ln (kx) / ln (k)
37/443
90.9 181.8 4.5097600012 5.2029071817
91 182 4.5108595065 5.2040066871
91.1 182.2 4.5119578043 5.2051049848
91.2 182.4 4.5130548971 5.2062020776
91.3 182.6 4.5141507876 5.2072979682
91.4 182.8 4.5152454785 5.208392659
91.5 183 4.5163389723 5.2094861528
91.6 183.2 4.5174312717 5.2105784522
91.7 183.4 4.5185223793 5.2116695598
91.8 183.6 4.5196122976 5.2127594782
91.9 183.8 4.5207010294 5.2138482099
92 184 4.521788577 5.2149357576
92.1 184.2 4.5228749433 5.2160221238
92.2 184.4 4.5239601306 5.2171073111
92.3 184.6 4.5250441415 5.2181913221
92.4 184.8 4.5261269786 5.2192741592
92.5 185 4.5272086445 5.2203558251
92.6 185.2 4.5282891417 5.2214363222
92.7 185.4 4.5293684726 5.2225156531
92.8 185.6 4.5304466398 5.2235938204
92.9 185.8 4.5315236458 5.2246708264
93 186 4.5325994932 5.2257466737
93.1 186.2 4.5336741843 5.2268213648
93.2 186.4 4.5347477217 5.2278949023
93.3 186.6 4.5358201079 5.2289672884
93.4 186.8 4.5368913452 5.2300385258
93.5 187 4.5379614363 5.2311086169
93.6 187.2 4.5390303835 5.232177564
93.7 187.4 4.5400981892 5.2332453698
93.8 187.6 4.541164856 5.2343120366
93.9 187.8 4.5422303862 5.235377566894 188 4.5432947823 5.2364419628
94.1 188.2 4.5443580466 5.2375052272
94.2 188.4 4.5454201816 5.2385673621
94.3 188.6 4.5464811896 5.2396283702
94.4 188.8 4.5475410732 5.2406882537
94.5 189 4.5485998345 5.2417470151
94.6 189.2 4.5496574761 5.2428046566
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8/19/2019 y = ln (kx) / ln (k)
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94.7 189.4 4.5507140002 5.2438611808
94.8 189.6 4.5517694093 5.2449165898
94.9 189.8 4.5528237056 5.2459708862
95 190 4.5538768916 5.2470240722
95.1 190.2 4.5549289696 5.2480761501
95.2 190.4 4.5559799418 5.2491271224
95.3 190.6 4.5570298107 5.2501769912
95.4 190.8 4.5580785785 5.251225759
95.5 191 4.5591262475 5.252273428
95.6 191.2 4.5601728201 5.2533200006
95.7 191.4 4.5612182985 5.254365479
95.8 191.6 4.562262685 5.2554098655
95.9 191.8 4.5633059819 5.2564531624
96 192 4.5643481915 5.257495372
96.1 192.2 4.565389316 5.2585364965
96.2 192.4 4.5664293577 5.2595765382
96.3 192.6 4.5674683188 5.2606154994
96.4 192.8 4.5685062016 5.2616533822
96.5 193 4.5695430083 5.2626901889
96.6 193.2 4.5705787412 5.2637259218
96.7 193.4 4.5716134025 5.264760583
96.8 193.6 4.5726469943 5.2657941748
96.9 193.8 4.5736795189 5.2668266995
97 194 4.5747109785 5.2678581591
97.1 194.2 4.5757413753 5.2688885559
97.2 194.4 4.5767707115 5.269917892
97.3 194.6 4.5777989892 5.2709461698
97.4 194.8 4.5788262106 5.2719733912
97.5 195 4.579852378 5.2729995586
97.6 195.2 4.5808774934 5.274024674
97.7 195.4 4.581901559 5.275048739697.8 195.6 4.582924577 5.2760717576
97.9 195.8 4.5839465495 5.2770937301
98 196 4.5849674787 5.2781146592
98.1 196.2 4.5859873666 5.2791345471
98.2 196.4 4.5870062154 5.2801533959
98.3 196.6 4.5880240272 5.2811712077
98.4 196.8 4.5890408041 5.2821879846
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8/19/2019 y = ln (kx) / ln (k)
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98.5 197 4.5900565482 5.2832037287
98.6 197.2 4.5910712616 5.2842184422
98.7 197.4 4.5920849464 5.285232127
98.8 197.6 4.5930976048 5.2862447853
98.9 197.8 4.5941092386 5.2872564192
99 198 4.5951198501 5.2882670307
99.1 198.2 4.5961294413 5.2892766219
99.2 198.4 4.5971380143 5.2902851949
99.3 198.6 4.5981455711 5.2912927516
99.4 198.8 4.5991521137 5.2922992942
99.5 199 4.6001576442 5.2933048247
99.6 199.2 4.6011621646 5.2943093452
99.7 199.4 4.602165677 5.2953128575
99.8 199.6 4.6031681833 5.2963153639
99.9 199.8 4.6041696857 5.2973168662
100 200 4.605170186 5.2983173665
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A^n (=2A)
0 1
0.6989700043 0.2
0.5693234419 0.4
0.4242833575 0.6
0.2435292026 0.8
0 1
-0.3569154489 1.2
-0.9433582099 1.4
-2.1062837195 1.6
-5.578813479 1.8
#DIV/0 #DIV/0
8.2725408973 2.2
4.8017840169 2.4
3.6419267958 2.6
3.0600427171 2.8
2.7095112914 3
2.4747698474 3.2
2.3062764359 3.4
2.1792495848 3.6
2.079914285 3.8
2 4
1.9342395089 4.2
1.8791181558 4.4
1.8322002503 4.6
1.7917440692 4.8
1.7564707974 5
1.7254200713 5.2
1.6978564745 5.41.6732071764 5.6
1.6510192454 5.8
1.6309297536 6
1.6126444113 6.2
1.5959220204 6.4
1.5805629753 6.6
1.5664006342 6.8
0 20
-8
-6
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0
2
4
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8
10
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1.5532947557 7
1.5411264469 7.2
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1.5192109563 7.6
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1.5 8
1.4912498793 8.2
1.4830009441 8.4
1.4752091332 8.6
1.4678354861 8.8
1.4608454206 9
1.4542081304 9.2
1.4478960796 9.4
1.4418845765 9.6
1.4361514132 9.8
1.4306765581 10
1.4254418937 10.2
1.4204309915 10.4
1.4156289175 10.6
1.4110220651 10.8
1.4065980092 11
1.4023453795 11.2
1.3982537498 11.4
1.3943135413 11.6
1.3905159371 11.8
1.3868528072 12
1.3833166426 12.2
1.3799004957 12.4
1.3765979292 12.6
1.3734029688 12.8
1.3703100622 131.3673140421 13.2
1.364410093 13.4
1.3615937212 13.6
1.3588607283 13.8
1.3562071871 14
1.3536294195 14.2
1.3511239769 14.4
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1.3486876226 14.6
1.3463173154 14.8
1.3440101948 15
1.3417635676 15.2
1.3395748958 15.4
1.3374417856 15.6
1.3353619767 15.8
1.3333333333 16
1.3313538357 16.2
1.3294215719 16.4
1.3275347309 16.6
1.3256915958 16.8
1.3238905378 17
1.3221300102 17.2
1.3204085439 17.4
1.3187247416 17.6
1.3170772744 17.8
1.3154648768 18
1.3138863433 18.2
1.3123405247 18.4
1.3108263249 18.6
1.3093426979 18.8
1.3078886446 19
1.3064632105 19.2
1.3050654829 19.4
1.303694589 19.6
1.3023496932 19.8
1.3010299957 20
1.2997347299 20.2
1.2984631612 20.4
1.2972145852 20.61.2959883261 20.8
1.2947837349 21
1.2936001888 21.2
1.2924370892 21.4
1.2912938609 21.6
1.2901699506 21.8
1.2890648263 22
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1.287977976 22.2
1.2869089066 22.4
1.2858571434 22.6
1.2848222291 22.8
1.2838037226 23
1.282801199 23.2
1.2818142483 23.4
1.2808424748 23.6
1.2798854968 23.8
1.2789429457 24
1.2780144652 24.2
1.2770997115 24.4
1.276198352 24.6
1.2753100654 24.8
1.2744345408 25
1.2735714774 25.2
1.2727205842 25.4
1.2718815798 25.6
1.2710541912 25.8
1.2702381544 26
1.2694332136 26.2
1.2686391208 26.4
1.2678556356 26.6
1.2670825252 26.8
1.2663195633 27
1.265566531 27.2
1.2648232155 27.4
1.2640894102 27.6
1.263364915 27.8
1.262649535 28
1.2619430815 28.21.2612453707 28.4
1.2605562243 28.6
1.2598754688 28.8
1.2592029357 29
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1.2572330545 29.6
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1.2565918165 29.8
1.2559580248 30
1.2553315367 30.2
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1.2528958912 31
1.2523039053 31.2
1.2517184406 31.4
1.2511393783 31.6
1.2505666025 31.8
1.25 32
1.2494394607 32.2
1.248884877 32.4
1.2483361441 32.6
1.2477931597 32.8
1.2472558239 33
1.2467240391 33.2
1.2461977104 33.4
1.2456767448 33.6
1.2451610515 33.8
1.2446505421 34
1.24414513 34.2
1.2436447307 34.4
1.2431492615 34.6
1.2426586418 34.8
1.2421727927 35
1.2416916371 35.2
1.2412150995 35.4
1.2407431064 35.6
1.2402755856 35.81.2398124666 36
1.2393536804 36.2
1.2388991596 36.4
1.2384488382 36.6
1.2380026516 36.8
1.2375605365 37
1.2371224311 37.2
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1.2366882748 37.4
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1.2354089134 38
1.2349899724 38.2
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1.2341630307 38.6
1.2337549241 38.8
1.2333503249 39
1.2329491827 39.2
1.2325514483 39.4
1.2321570733 39.6
1.2317660104 39.8
1.2313782132 40
1.230993636 40.2
1.2306122342 40.4
1.230233964 40.6
1.2298587824 40.8
1.2294866473 41
1.2291175174 41.2
1.228751352 41.4
1.2283881113 41.6
1.2280277563 41.8
1.2276702487 42
1.2273155507 42.2
1.2269636255 42.4
1.2266144368 42.6
1.2262679489 42.8
1.2259241269 43
1.2255829364 43.2
1.2252443437 43.41.2249083157 43.6
1.2245748199 43.8
1.2242438242 44
1.2239152973 44.2
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1.2229442233 44.8
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1.2207592776 46.2
1.2204559828 46.4
1.2201548193 46.6
1.219855762 46.8
1.2195587862 47
1.2192638676 47.2
1.2189709822 47.4
1.2186801066 47.6
1.2183912174 47.8
1.218104292 48
1.2178193079 48.2
1.217536243 48.4
1.2172550756 48.6
1.2169757843 48.8
1.2166983481 49
1.2164227462 49.2
1.2161489583 49.4
1.2158769643 49.6
1.2156067443 49.8
1.215338279 50
1.2150715492 50.2
1.214806536 50.4
1.2145432207 50.6
1.2142815851 50.8
1.2140216112 511.2137632812 51.2
1.2135065775 51.4
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1.2129979806 51.8
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1.2105469597 53.8
1.2103099179 54
1.2100742825 54.2
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1.2091455276 55
1.2089167175 55.2
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1.2084630591 55.6
1.2082381851 55.8
1.2080145977 56
1.2077922844 56.2
1.2075712331 56.4
1.2073514315 56.6
1.2071328678 56.8
1.2069155303 57
1.2066994072 57.2
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1.2062707587 57.6
1.2060582108 57.8
1.2058468325 58
1.2056366127 58.2
1.2054275409 58.4
1.2052196064 58.61.2050127987 58.8
1.2048071075 59
1.2046025227 59.2
1.2043990341 59.4
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1.2035958454 60.2
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1.202422317 61.4
1.2022302581 61.6
1.2020391842 61.8
1.2018490866 62
1.2016599569 62.2
1.2014717867 62.4
1.2012845678 62.6
1.2010982921 62.8
1.2009129515 63
1.2007285381 63.2
1.2005450439 63.4
1.2003624613 63.6
1.2001807825 63.8
1.2 64
1.1998201063 64.2
1.1996410939 64.4
1.1994629556 64.6
1.1992856841 64.8
1.1991092722 65
1.1989337129 65.2
1.1987589993 65.4
1.1985851243 65.6
1.1984120812 65.8
1.1982398632 66
1.1980684636 66.21.1978978759 66.4
1.1977280934 66.6
1.1975591099 66.8
1.1973909188 67
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1.1968910377 67.6
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1.1967259541 67.8
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1.1957512406 69
1.1955913654 69.2
1.1954322115 69.4
1.1952737732 69.6
1.1951160451 69.8
1.1949590219 70
1.1948026981 70.2
1.1946470684 70.4
1.1944921277 70.6
1.1943378707 70.8
1.1941842923 71
1.1940313874 71.2
1.1938791511 71.4
1.1937275783 71.6
1.1935766641 71.8
1.1934264036 72
1.1932767921 72.2
1.1931278248 72.4
1.1929794969 72.6
1.1928318038 72.8
1.1926847408 73
1.1925383035 73.2
1.1923924872 73.4
1.1922472874 73.6
1.1921026998 73.81.19195872 74
1.1918153436 74.2
1.1916725662 74.4
1.1915303837 74.6
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1.1909675183 75.4
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1.1904138402 76.2
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1.1901403668 76.6
1.1900044581 76.8
1.1898690961 77
1.1897342773 77.2
1.1895999979 77.4
1.1894662542 77.6
1.1893330426 77.8
1.1892003595 78
1.1890682013 78.2
1.1889365644 78.4
1.1888054454 78.6
1.1886748408 78.8
1.1885447471 79
1.188415161 79.2
1.188286079 79.4
1.1881574978 79.6
1.1880294142 79.8
1.1879018247 80
1.1877747262 80.2
1.1876481155 80.4
1.1875219893 80.6
1.1873963445 80.8
1.1872711779 81
1.1871464865 81.2
1.1870222672 81.41.1868985169 81.6
1.1867752326 81.8
1.1866524112 82
1.18653005 82.2
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1.1860451468 83
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1.185331105 84.2
1.1852136157 84.4
1.1850965528 84.6
1.1849799137 84.8
1.1848636957 85
1.1847478963 85.2
1.1846325129 85.4
1.1845175429 85.6
1.1844029838 85.8
1.1842888331 86
1.1841750884 86.2
1.184061747 86.4
1.1839488067 86.6
1.1838362649 86.8
1.1837241193 87
1.1836123674 87.2
1.183501007 87.4
1.1833900357 87.6
1.1832794511 87.8
1.1831692509 88
1.1830594329 88.2
1.1829499948 88.4
1.1828409344 88.6
1.1827322493 88.8
1.1826239375 891.1825159967 89.2
1.1824084248 89.4
1.1823012195 89.6
1.1821943788 89.8
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1.1817706192 90.6
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1.1811455637 91.8
1.1810425968 92
1.1809399701 92.2
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1.1807357296 92.6
1.1806341121 92.8
1.1805328271 93
1.1804318729 93.2
1.1803312476 93.4
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1.1801309763 93.8
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1.1799319987 94.2
1.1798329906 94.4
1.1797343006 94.6
1.1796359269 94.8
1.1795378678 95
1.1794401216 95.2
1.1793426866 95.4
1.1792455611 95.6
1.1791487434 95.8
1.1790522318 96
1.1789560246 96.2
1.1788601203 96.4
1.1787645171 96.61.1786692135 96.8
1.1785742079 97
1.1784794986 97.2
1.1783850841 97.4
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1.1780103425 98.2
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1.1774568114 99.4
1.1773655381 99.6
1.1772745415 99.8
1.1771838201 100
1.1770933726 100.2
1.1770031973 100.4
1.1769132931 100.6
1.1768236584 100.8
1.1767342919 101
1.1766451922 101.2
1.176556358 101.4
1.1764677878 101.6
1.1763794804 101.8
1.1762914344 102
1.1762036484 102.2
1.1761161212 102.4
1.1760288515 102.6
1.1759418379 102.8
1.1758550791 103
1.1757685739 103.2
1.175682321 103.4
1.1755963192 103.6
1.1755105671 103.8
1.1754250636 104
1.1753398074 104.21.1752547972 104.4
1.1751700319 104.6
1.1750855102 104.8
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1.1746665148 105.8
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1.1741715144 107
1.174089825 107.2
1.1740083643 107.4
1.173927131 107.6
1.1738461243 107.8
1.1737653429 108
1.1736847858 108.2
1.1736044519 108.4
1.1735243401 108.6
1.1734444495 108.8
1.1733647789 109
1.1732853273 109.2
1.1732060937 109.4
1.173127077 109.6
1.1730482763 109.8
1.1729696904 110
1.1728913185 110.2
1.1728131595 110.4
1.1727352124 110.6
1.1726574762 110.8
1.1725799499 111
1.1725026326 111.2
1.1724255233 111.4
1.172348621 111.6
1.1722719249 111.81.1721954338 112
1.1721191469 112.2
1.1720430633 112.4
1.171967182 112.6
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1.1716656614 113.4
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1.171367305 114.2
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1.1712192954 114.6
1.1711455798 114.8
1.1710720558 115
1.1709987225 115.2
1.170925579 115.4
1.1708526247 115.6
1.1707798585 115.8
1.1707072797 116
1.1706348874 116.2
1.1705626808 116.4
1.1704906591 116.6
1.1704188215 116.8
1.1703471671 117
1.1702756952 117.2
1.170204405 117.4
1.1701332956 117.6
1.1700623663 117.8
1.1699916163 118
1.1699210448 118.2
1.169850651 118.4
1.1697804342 118.6
1.1697103936 118.8
1.1696405284 119
1.1695708379 119.2
1.1695013213 119.41.1694319779 119.6
1.1693628069 119.8
1.1692938076 120
1.1692249793 120.2
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1.1689513611 121
1.1688833767 121.2
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1.1685459406 122.2
1.1684789456 122.4
1.1684121131 122.6
1.1683454425 122.8
1.168278933 123
1.1682125839 123.2
1.1681463946 123.4
1.1680803645 123.6
1.1680144928 123.8
1.167948779 124
1.1678832223 124.2
1.1678178221 124.4
1.1677525778 124.6
1.1676874887 124.8
1.1676225543 125
1.1675577738 125.2
1.1674931466 125.4
1.1674286721 125.6
1.1673643497 125.8
1.1673001788 126
1.1672361587 126.2
1.1671722889 126.4
1.1671085687 126.6
1.1670449975 126.8
1.1669815748 1271.1669182999 127.2
1.1668551722 127.4
1.1667921912 127.6
1.1667293562 127.8
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1.1664794652 128.6
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1.1662935522 129.2
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1.1661089124 129.8
1.1660476462 130
1.1659865192 130.2
1.165925531 130.4
1.1658646809 130.6
1.1658039684 130.8
1.1657433931 131
1.1656829542 131.2
1.1656226514 131.4
1.1655624841 131.6
1.1655024518 131.8
1.1654425539 132
1.16538279 132.2
1.1653231594 132.4
1.1652636618 132.6
1.1652042965 132.8
1.1651450631 133
1.1650859611 133.2
1.16502699 133.4
1.1649681492 133.6
1.1649094383 133.8
1.1648508567 134
1.1647924041 134.2
1.1647340798 134.4
1.1646758835 134.61.1646178145 134.8
1.1645598725 135
1.164502057 135.2
1.1644443674 135.4
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1.1643293644 135.8
1.16427205 136
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1.1642148596 136.2
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1.163874298 137.4
1.1638179635 137.6
1.1637617495 137.8
1.1637056554 138
1.163649681 138.2
1.1635938257 138.4
1.1635380891 138.6
1.1634824707 138.8
1.1634269701 139
1.163371587 139.2
1.1633163208 139.4
1.1632611711 139.6
1.1632061376 139.8
1.1631512197 140
1.1630964171 140.2
1.1630417293 140.4
1.162987156 140.6
1.1629326967 140.8
1.162878351 141
1.1628241185 141.2
1.1627699987 141.4
1.1627159914 141.6
1.1626620961 141.8
1.1626083123 142
1.1625546397 142.21.1625010779 142.4
1.1624476264 142.6
1.162394285 142.8
1.1623410531 143
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1.162129214 143.8
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1.1617626266 145.2
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1.1616588384 145.6
1.1616071009 145.8
1.1615554674 146
1.1615039376 146.2
1.1614525109 146.4
1.1614011871 146.6
1.1613499659 146.8
1.1612988468 147
1.1612478296 147.2
1.1611969138 147.4
1.1611460991 147.6
1.1610953852 147.8
1.1610447718 148
1.1609942584 148.2
1.1609438447 148.4
1.1608935304 148.6
1.1608433152 148.8
1.1607931988 149
1.1607431807 149.2
1.1606932606 149.4
1.1606434383 149.6
1.1605937133 149.81.1605440854 150
1.1604945543 150.2
1.1604451195 150.4
1.1603957808 150.6
1.1603465379 150.8
1.1602973904 151
1.160248338 151.2
-
8/19/2019 y = ln (kx) / ln (k)
60/443
1.1601993804 151.4
1.1601505173 151.6
1.1601017484 151.8
1.1600530733 152
1.1600044917 152.2
1.1599560033 152.4
1.1599076079 152.6
1.1598593051 152.8
1.1598110945 153
1.159762976 153.2
1.1597149491 153.4
1.1596670137 153.6
1.1596191693 153.8
1.1595714157 154
1.1595237526 154.2
1.1594761796 154.4
1.1594286966 154.6
1.1593813032 154.8
1.159333999 155
1.1592867839 155.2
1.1592396576 155.4
1.1591926196 155.6
1.1591456698 155.8
1.1590988079 156
1.1590520335 156.2
1.1590053464 156.4
1.1589587464 156.6
1.1589122331 156.8
1.1588658062 157
1.1588194655 157.2
1.1587732107 157.41.1587270415 157.6
1.1586809577 157.8
1.1586349589 158
1.1585890449 158.2
1.1585432155 158.4
1.1584974703 158.6
1.1584518091 158.8
-
8/19/2019 y = ln (kx) / ln (k)
61/443
1.1584062317 159
1.1583607377 159.2
1.1583153269 159.4
1.158269999 159.6
1.1582247538 159.8
1.1581795909 160
1.1581345103 160.2
1.1580895115 160.4
1.1580445943 160.6
1.1579997585 160.8
1.1579550039 161
1.1579103301 161.2
1.1578657369 161.4
1.157821224 161.6
1.1577767913 161.8
1.1577324384 162
1.1576881651 162.2
1.1576439712 162.4
1.1575998564 162.6
1.1575558204 162.8
1.1575118631 163
1.1574679842 163.2
1.1574241834 163.4
1.1573804605 163.6
1.1573368152 163.8
1.1572932473 164
1.1572497567 164.2
1.157206343 164.4
1.1571630059 164.6
1.1571197454 164.8
1.1570765611 1651.1570334527 165.2
1.1569904202 165.4
1.1569474632 165.6
1.1569045815 165.8
1.1568617749 166
1.1568190431 166.2
1.1567763859 166.4
-
8/19/2019 y = ln (kx) / ln (k)
62/443
1.1567338032 166.6
1.1566912946 166.8
1.15664886 167
1.1566064991 167.2
1.1565642117 167.4
1.1565219976 167.6
1.1564798565 167.8
1.1564377883 168
1.1563957928 168.2
1.1563538696 168.4
1.1563120186 168.6
1.1562702396 168.8
1.1562285323 169
1.1561868966 169.2
1.1561453323 169.4
1.156103839 169.6
1.1560624167 169.8
1.156021065 170
1.1559797839 170.2
1.155938573 170.4
1.1558974322 170.6
1.1558563613 170.8
1.15581536 171
1.1557744282 171.2
1.1557335656 171.4
1.1556927721 171.6
1.1556520474 171.8
1.1556113914 172
1.1555708038 172.2
1.1555302845 172.4
1.1554898332 172.61.1554494497 172.8
1.1554091339 173
1.1553688856 173.2
1.1553287045 173.4
1.1552885904 173.6
1.1552485433 173.8
1.1552085628 174
-
8/19/2019 y = ln (kx) / ln (k)
63/443
1.1551686488 174.2
1.155128801 174.4
1.1550890194 174.6
1.1550493037 174.8
1.1550096536 175
1.1549700692 175.2
1.15493055 175.4
1.154891096 175.6
1.154851707 175.8
1.1548123827 176
1.1547731231 176.2
1.1547339278 176.4
1.1546947968 176.6
1.1546557299 176.8
1.1546167267 177
1.1545777873 177.2
1.1545389114 177.4
1.1545000988 177.6
1.1544613493 177.8
1.1544226628 178
1.1543840391 178.2
1.154345478 178.4
1.1543069793 178.6
1.1542685429 178.8
1.1542301685 179
1.1541918561 179.2
1.1541536054 179.4
1.1541154162 179.6
1.1540772885 179.8
1.154039222 180
1.1540012165 180.21.1539632719 180.4
1.1539253879 180.6
1.1538875646 180.8
1.1538498016 181
1.1538120988 181.2
1.153774456 181.4
1.1537368731 181.6
-
8/19/2019 y = ln (kx) / ln (k)
64/443
1.1536993499 181.8
1.1536618863 182
1.153624482 182.2
1.153587137 182.4
1.1535498509 182.6
1.1535126238 182.8
1.1534754554 183
1.1534383456 183.2
1.1534012941 183.4
1.1533643009 183.6
1.1533273658 183.8
1.1532904887 184
1.1532536692 184.2
1.1532169074 184.4
1.1531802031 184.6
1.153143556 184.8
1.1531069661 185
1.1530704332 185.2
1.1530339571 185.4
1.1529975377 185.6
1.1529611748 185.8
1.1529248683 186
1.152888618 186.2
1.1528524238 186.4
1.1528162855 186.6
1.152780203 186.8
1.1527441761 187
1.1527082046 187.2
1.1526722885 187.4
1.1526364276 187.6
1.1526006216 187.81.1525648706 188
1.1525291743 188.2
1.1524935326 188.4
1.1524579453 188.6
1.1524224123 188.8
1.1523869335 189
1.1523515087 189.2
-
8/19/2019 y = ln (kx) / ln (k)
65/443
1.1523161378 189.4
1.1522808205 189.6
1.1522455569 189.8
1.1522103467 190
1.1521751898 190.2
1.1521400861 190.4
1.1521050354 190.6
1.1520700375 190.8
1.1520350925 191
1.1520002 191.2
1.15196536 191.4
1.1519305723 191.6
1.1518958368 191.8
1.1518611533 192
1.1518265218 192.2
1.1517919421 192.4
1.151757414 192.6
1.1517229374 192.8
1.1516885122 193
1.1516541383 193.2
1.1516198155 193.4
1.1515855437 193.6
1.1515513227 193.8
1.1515171524 194
1.1514830327 194.2
1.1514489635 194.4
1.1514149446 194.6
1.151380976 194.8
1.1513470574 195
1.1513131887 195.2
1.1512793698 195.41.1512456007 195.6
1.1512118811 195.8
1.1511782109 196
1.1511445901 196.2
1.1511110184 196.4
1.1510774958 196.6
1.1510440221 196.8
-
8/19/2019 y = ln (kx) / ln (k)
66/443
1.1510105972 197
1.150977221 197.2
1.1509438934 197.4
1.1509106142 197.6
1.1508773833 197.8
1.1508442006 198
1.150811066 198.2
1.1507779793 198.4
1.1507449405 198.6
1.1507119494 198.8
1.1506790058 199
1.1506461098 199.2
1.1506132611 199.4
1.1505804596 199.6
1.1505477052 199.8
1.1505149978 200
-
8/19/2019 y = ln (kx) / ln (k)
67/443
40 60 80
n vs. A
-
8/19/2019 y = ln (kx) / ln (k)
68/443
-
8/19/2019 y = ln (kx) / ln (k)
69/443
-
8/19/2019 y = ln (kx) / ln (k)
70/443
-
8/19/2019 y = ln (kx) / ln (k)
71/443
-
8/19/2019 y = ln (kx) / ln (k)
72/443
-
8/19/2019 y = ln (kx) / ln (k)
73/443
-
8/19/2019 y = ln (kx) / ln (k)
74/443
-
8/19/2019 y = ln (kx) / ln (k)
75/443
-
8/19/2019 y = ln (kx) / ln (k)
76/443
-
8/19/2019 y = ln (kx) / ln (k)
77/443
-
8/19/2019 y = ln (kx) / ln (k)
78/443
-
8/19/2019 y = ln (kx) / ln (k)
79/443
-
8/19/2019 y = ln (kx) / ln (k)
80/443
-
8/19/2019 y = ln (kx) / ln (k)
81/443
-
8/19/2019 y = ln (kx) / ln (k)
82/443
-
8/19/2019 y = ln (kx) / ln (k)
83/443
-
8/19/2019 y = ln (kx) / ln (k)
84/443
-
8/19/2019 y = ln (kx) / ln (k)
85/443
-
8/19/2019 y = ln (kx) / ln (k)
86/443
-
8/19/2019 y = ln (kx) / ln (k)
87/443
-
8/19/2019 y = ln (kx) / ln (k)
88/443
-
8/19/2019 y = ln (kx) / ln (k)
89/443
-
8/19/2019 y = ln (kx) / ln (k)
90/443
-
8/19/2019 y = ln (kx) / ln (k)
91/443
-
8/19/2019 y = ln (kx) / ln (k)
92/443
-
8/19/2019 y = ln (kx) / ln (k)
93/443
-
8/19/2019 y = ln (kx) / ln (k)
94/443
100 120
n
-
8/19/2019 y = ln (kx) / ln (k)
95/443
-
8/19/2019 y = ln (kx) / ln (k)
96/443
-
8/19/2019 y = ln (kx) / ln (k)
97/443
-
8/19/2019 y = ln (kx) / ln (k)
98/443
-
8/19/2019 y = ln (kx) / ln (k)
99/443
-
8/19/2019 y = ln (kx) / ln (k)
100/443
-
8/19/2019 y = ln (kx) / ln (k)
101/443
-
8/19/2019 y = ln (kx) / ln (k)
102/443
-
8/19/2019 y = ln (kx) / ln (k)
103/443
-
8/19/2019 y = ln (kx) / ln (k)
104/443
-
8/19/2019 y = ln (kx) / ln (k)
105/443
-
8/19/2019 y = ln (kx) / ln (k)
106/443
-
8/19/2019 y = ln (kx) / ln (k)
107/443
-
8/19/2019 y = ln (kx) / ln (k)
108/443
-
8/19/2019 y = ln (kx) / ln (k)
109/443
-
8/19/2019 y = ln (kx) / ln (k)
110/443
-
8/19/2019 y = ln (kx) / ln (k)
111/443
-
8/19/2019 y = ln (kx) / ln (k)
112/443
-
8/19/2019 y = ln (kx) / ln (k)
113/443
-
8/19/2019 y = ln (kx) / ln (k)
114/443
-
8/19/2019 y = ln (kx) / ln (k)
115/443
-
8/19/2019 y = ln (kx) / ln (k)
116/443
-
8/19/2019 y = ln (kx) / ln (k)
117/443
-
8/19/2019 y = ln (kx) / ln (k)
118/443
-
8/19/2019 y = ln (kx) / ln (k)
119/443
-
8/19/2019 y = ln (kx) / ln (k)
120/443
-
8/19/2019 y = ln (kx) / ln (k)
121/443
A^n = 2A
then n=ln2A / lnA
2A lnA ln2A
1000 2000 6.907755279 7.6009024595
1010 2020 6.9177056098 7.6108527904
1020 2040 6.9275579063 7.6207050868
1030 2060 6.9373140812 7.6304612618
1040 2080 6.9469759921 7.6401231727
1050 2100 6.9565454432 7.6496926237
1060 2120 6.9660241871 7.6591713677
1070 2140 6.9754139275 7.668561108
1080 2160 6.9847163201 7.6778635007
1090 2180 6.9939329752 7.6870801558
1100 2200 7.0030654588 7.6962126393
1110 2220 7.0121152943 7.7052624749
1120 2240 7.0210839643 7.7142311448
1130 2260 7.0299729117 7.7231200923
1140 2280 7.0387835414 7.7319307219
1150 2300 7.0475172214 7.7406644019
1160 2320 7.0561752841 7.7493224647
1170 2340 7.0647590278 7.7579062084
1180 2360 7.0732697175 7.766416898
1190 2380 7.0817085861 7.7748557667
1200 2400 7.0900768358 7.7832240163
1210 2420 7.0983756386 7.7915228192
1220 2440 7.1066061377 7.7997533183
1230 2460 7.1147694484 7.8079166289
1240 2480 7.1228666586 7.8160138392
1250 2500 7.1308988303 7.8240460109
1260 2520 7.1388669999 7.8320141805
1270 2540 7.1467721795 7.839919361280 2560 7.1546153569 7.8477625375
1290 2580 7.1623974974 7.8555446779
1300 2600 7.1701195434 7.863266724
1310 2620 7.1777824162 7.8709295968
1320 2640 7.1853870156 7.8785341961
1330 2660 7.1929342212 7.8860814018
1340 2680 7.2004248929 7.8935720735
-
8/19/2019 y = ln (kx) / ln (k)
122/443
1350 2700 7.2078598714 7.901007052
1360 2720 7.2152399787 7.9083871593
1370 2740 7.2225660188 7.9157131994
1380 2760 7.2298387782 7.9229859587
1390 2780 7.2370590261 7.9302062067
1400 2800 7.2442275156 7.9373746962
1410 2820 7.2513449834 7.9444921639
1420 2840 7.2584121506 7.9515593312
1430 2860 7.2654297233 7.9585769038
1440 2880 7.2723983926 7.9655455731
1450 2900 7.2793188354 7.972466016
1460 2920 7.2861917147 7.9793388953
1470 2940 7.2930176798 7.9861648603
1480 2960 7.2997973668 7.9929445473
1490 2980 7.3065313989 7.9996785795
1500 3000 7.3132203871 8.0063675677
1510 3020 7.3198649298 8.0130121104
1520 3040 7.3264656138 8.0196127944
1530 3060 7.3330230144 8.0261701949
1540 3080 7.3395376954 8.032684876
1550 3100 7.3460102099 8.0391573905
1560 3120 7.3524411002 8.0455882808
1570 3140 7.3588308983 8.0519780789
1580 3160 7.365180126 8.0583273066
1590 3180 7.3714892952 8.0646364758
1600 3200 7.3777589082 8.0709060888
1610 3220 7.383989458 8.0771366385
1620 3240 7.3901814282 8.0833286088
1630 3260 7.3963352938 8.0894824744
1640 3280 7.4024515208 8.0955987014
1650 3300 7.4085305669 8.10167774751660 3320 7.4145728814 8.1077200619
1670 3340 7.4205789054 8.113726086
1680 3360 7.4265490724 8.119696253
1690 3380 7.4324838079 8.1256309885
1700 3400 7.43838353 8.1315307106
1710 3420 7.4442486495 8.1373958301
1720 3440 7.4500795698 8.1432267504
-
8/19/2019 y = ln (kx) / ln (k)
123/443
1730 3460 7.4558766875 8.1490238681
1740 3480 7.4616403922 8.1547875728
1750 3500 7.4673710669 8.1605182475
1760 3520 7.473069088 8.1662162686
1770 3540 7.4787348256 8.1718820061
1780 3560 7.4843686433 8.1775158238
1790 3580 7.4899708988 8.1831180794
1800 3600 7.4955419439 8.1886891244
1810 3620 7.5010821243 8.1942293048
1820 3640 7.5065917801 8.1997389606
1830 3660 7.5120712458 8.2052184264
1840 3680 7.5175208506 8.2106680312
1850 3700 7.5229409181 8.2160880986
1860 3720 7.5283317667 8.2214789473
1870 3740 7.5336937098 8.2268408904
1880 3760 7.5390270558 8.2321742364
1890 3780 7.5443321081 8.2374792886
1900 3800 7.5496091652 8.2427563457
1910 3820 7.554858521 8.2480057016
1920 3840 7.560080465 8.2532276456
1930 3860 7.5652752819 8.2584224625
1940 3880 7.5704432521 8.2635904326
1950 3900 7.5755846516 8.2687318321
1960 3920 7.5806997522 8.2738469328
1970 3940 7.5857888217 8.2789360023
1980 3960 7.5908521237 8.2839993042
1990 3980 7.5958899177 8.2890370983
2000 4000 7.6009024595 8.2940496401
2010 4020 7.6058900011 8.2990371816
2020 4040 7.6108527904 8.303999971
2030 4060 7.615791072 8.30893825262040 4080 7.6207050868 8.3138522674
2050 4100 7.6255950721 8.3187422527
2060 4120 7.6304612618 8.3236084423
2070 4140 7.6353038863 8.3284510668
2080 4160 7.6401231727 8.3332703533
2090 4180 7.644919345 8.3380665255
2100 4200 7.6496926237 8.3428398043
-
8/19/2019 y = ln (kx) / ln (k)
124/443
2110 4220 7.6544432265 8.347590407
2120 4240 7.6591713677 8.3523185482
2130 4260 7.6638772587 8.3570244393
2140 4280 7.668561108 8.3617082886
2150 4300 7.6732231211 8.3663703017
2160 4320 7.6778635007 8.3710106812
2170 4340 7.6824824465 8.3756296271
2180 4360 7.6870801558 8.3802273363
2190 4380 7.6916568228 8.3848040034
2200 4400 7.6962126393 8.3893598199
2210 4420 7.7007477945 8.3938949751
2220 4440 7.7052624749 8.3984096554
2230 4460 7.7097568645 8.402904045
2240 4480 7.7142311448 8.4073783254
2250 4500 7.7186854952 8.4118326758
2260 4520 7.7231200923 8.4162672728
2270 4540 7.7275351105 8.420682291
2280 4560 7.7319307219 8.4250779025
2290 4580 7.7363070965 8.4294542771
2300 4600 7.7406644019 8.4338115825
2310 4620 7.7450028035 8.4381499841
2320 4640 7.7493224647 8.4424696452
2330 4660 7.7536235466 8.4467707271
2340 4680 7.7579062084 8.4510533889
2350 4700 7.7621706071 8.4553177877
2360 4720 7.766416898 8.4595640786
2370 4740 7.7706452341 8.4637924147
2380 4760 7.7748557667 8.4680029472
2390 4780 7.7790486449 8.4721958255
2400 4800 7.7832240163 8.4763711969
2410 4820 7.7873820265 8.4805292072420 4840 7.7915228192 8.4846699997
2430 4860 7.7956465363 8.4887937169
2440 4880 7.7997533183 8.4929004988
2450 4900 7.8038433035 8.4969904841
2460 4920 7.8079166289 8.5010638095
2470 4940 7.8119734296 8.5051206102
2480 4960 7.8160138392 8.5091610197
-
8/19/2019 y = ln (kx) / ln (k)
125/443
2490 4980 7.8200379895 8.51318517
2500 5000 7.8240460109 8.5171931914
2510 5020 7.8280380321 8.5211852127
2520 5040 7.8320141805 8.5251613611
2530 5060 7.8359745817 8.5291217623
2540 5080 7.83991936 8.5330665406
2550 5100 7.8438486382 8.5369958187
2560 5120 7.8477625375 8.540909718
2570 5140 7.8516611779 8.5448083584
2580 5160 7.8555446779 8.5486918585
2590 5180 7.8594131547 8.5525603353
2600 5200 7.863266724 8.5564139046
2610 5220 7.8671055003 8.5602526809
2620 5240 7.8709295968 8.5640767773
2630 5260 7.8747391252 8.5678863057
2640 5280 7.8785341961 8.5716813767
2650 5300 7.882314919 8.5754620995
2660 5320 7.8860814018 8.5792285823
2670 5340 7.8898337514 8.582980932
2680 5360 7.8935720735 8.5867192541
2690 5380 7.8972964726 8.5904436532
2700 5400 7.901007052 8.5941542326
2710 5420 7.9047039139 8.5978510944
2720 5440 7.9083871593 8.6015343398
2730 5460 7.9120568882 8.6052040687
2740 5480 7.9157131994 8.6088603799
2750 5500 7.9193561907 8.6125033712
2760 5520 7.9229859587 8.6161331393
2770 5540 7.9266025992 8.6197497797
2780 5560 7.9302062067 8.6233533872
2790 5580 7.9337968748 8.62694405542800 5600 7.9373746962 8.6305218767
2810 5620 7.9409397623 8.6340869429
2820 5640 7.9444921639 8.6376393445
2830 5660 7.9480319906 8.6411791712
2840 5680 7.9515593312 8.6447065117
2850 5700 7.9550742733 8.6482214538
2860 5720 7.9585769038 8.6517240844
-
8/19/2019 y = ln (kx) / ln (k)
126/443
2870 5740 7.9620673088 8.6552144893
2880 5760 7.9655455731 8.6586927537
2890 5780 7.9690117811 8.6621589617
2900 5800 7.972466016 8.6656131965
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2950 5900 7.9895604493 8.6827076299