Post on 02-Dec-2018
400Alg2H 6-9 Logarithms With Other Bases Worksheet #7
Name_________________________ Date _________
Write each equation in logarithmic form.
1. 33 = 27 2. 2
5 = 32 3. 4
-2 =
1/16
Write each equation in exponential form.
4. log5125 = 3 5. log84 = 2/3 6. log100.001 = -3
Evaluate each expression.
7. log3
27
1 8. log164 9. 5
log525
Solve each equation.
10. log7y = -2 11. logb64 = 3
12. log1/327 = x 13. log5(2x – 3) = log5(x + 2)
14. log10(x2 + 36) = log10100 15. log33
(2x-1) = 7
Evaluate each expression.
16. log101000 17. log525 18. log14196
19. log381
1 20. log2
128
1 21. log366
22. log884 23. 3
log3243 24. 7
log7(x+3)
Solve each equation.
25. log2x = 5 26. log327 = y 27. logb9 = 2
28. log5 5 = y 29. log25x = 2
3 30. logb0.01 = -2
31. log1/10x = -3 32. log3x125 = 3 33. logx+216 = 2
34. log8(3x - 1) = log8(2x2) 35. log10(x
2 – 3) = log106
36. log10(x2 + 16) = log1080 37. 4
log4(x -1) = -0.5
38. log22(3x + 2)
= 14 39. 3log310
= x
40. log10(log88) = x 41. log4(log216) = y
Show that each statement is true.
42. log44 + log416 = log464 43. log416 = 2log44
44. log28 * log82 = 1 45. log10[log3(log464)] = 0