400Alg2H 6-9 Logarithms With Other Bases Worksheet #7 · 0.001 = -3 Evaluate each expression. 7....

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400Alg2H 6-9 Logarithms With Other Bases Worksheet #7 Name_________________________ Date _________ Write each equation in logarithmic form. 1. 3 3 = 27 2. 2 5 = 32 3. 4 -2 = 1 / 16 Write each equation in exponential form. 4. log 5 125 = 3 5. log 8 4 = 2 / 3 6. log 10 0.001 = -3 Evaluate each expression. 7. log 3 27 1 8. log 16 4 9. 5 log 5 25 Solve each equation. 10. log 7 y = -2 11. log b 64 = 3 12. log 1/3 27 = x 13. log 5 (2x 3) = log 5 (x + 2) 14. log 10 (x 2 + 36) = log 10 100 15. log 3 3 (2x-1) = 7 Evaluate each expression. 16. log 10 1000 17. log 5 25 18. log 14 196 19. log 3 81 1 20. log 2 128 1 21. log 36 6

Transcript of 400Alg2H 6-9 Logarithms With Other Bases Worksheet #7 · 0.001 = -3 Evaluate each expression. 7....

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