7/26/2019 Change of Base Formula, logarithm

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Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________The Change of Base Formula

Use a calculator to approximate each to the nearest thousandth.

1) log33.3 2) log

230

3) log45 4) log

22.1

5) log3.55 6) log613

7) log640 8) log

43.5

9) log22.9 10) log

622

11) log78.7 12) log

362

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7/26/2019 Change of Base Formula, logarithm

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13) log84 14) ln94

15) log28.7 16) log

971

17) log13

194 18) ln14.1

19) log13

12.9 20) log510.818

21) log3189 22) log

16194

23) log5183 24) log

142.6

Critical thinking question:

25) Show that log81000 = log

210algebraically.

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7/26/2019 Change of Base Formula, logarithm

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RKOuCtgaQySnosfLtfwiaSr2e7ZLhLGCo.yRPADlOlFVroiWg0hTt6sxFrnedsYeTrZvleXd2.PdaMraYdqeDqwWi6tThmPInnRfIihn9itteexJAtlmgMePbbrFaxh2X.d Worksheet by Kut

Kuta Software - Infinite Algebra 2 Name___________________________________

Period____Date________________The Change of Base Formula

Use a calculator to approximate each to the nearest thousandth.

1) log33.3

1.087

2) log230

4.907

3) log45

1.161

4) log22.1

1.07

5) log3.55

0.55

6) log613

1.432

7) log640

2.059

8) log43.5

0.904

9) log22.9

1.536

10) log622

1.725

11) log78.7

1.112

12) log362

3.757

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7/26/2019 Change of Base Formula, logarithm

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13) log84

0.667

14) ln94

4.543

15) log28.7

3.121

16) log971

1.94

17) log13

194

2.054

18) ln14.1

2.646

19) log13

12.9

0.997

20) log510.818

1.48

21) log3189

4.771

22) log16

194

1.9

23) log5183

3.237

24) log14

2.6

0.362

Critical thinking question:

25) Show that log81000 = log

210algebraically.

log81000 =

log21000

log28

=log

21000

3 = log

2

3

1000 = log210

2

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