Quiz 2 - Council Rock School District



Name

Date Period

Rewrite as a logarithm.

1. 35 = x 2. 2x = 128 3. 5–4 = x 4. 9x = 27

Evaluate.

5. log464 6. log5625 7. log164 8. log2[pic]

9. log99 10. [pic] 11. [pic] 12. log71

Express in terms of log10a and log10b.

13. log10a3[pic] 14. [pic]

Express as a logarithm of a single number or expression.

15. 5log4x – [pic]log4y 16. log6m + [pic]log6n

Given that log32 = 0.631 and log35 = 1.465, find the following:

17. log320 18. log3[pic] 19. log3100

Solve.

20. [pic]log8x = log827 21. log5m = [pic]log5125

22. log9(3y + 14) – log95 = log92y 23. 3log5x – log54 = log516

24. log10y = [pic]log1016 + [pic]log1049 25. log10a + log10(a + 21) = 2

26. log2(2x + 8) – log2(2x2 + 21x + 61) = –3 27. log5(x + 4) = 0

28. log2x2 – log2(x + 3) = 2 29. [pic]log8(x +10) = 1

Use a calculator to find each logarithm. (4 decimal places)

30. log 36.2 31. log 0.00745 32. log 9.245

Use a calculator to find the value of each expression to three significant digits.

33. (3.46)6 34. [pic] 35. [pic]

Use a calculator to find x to three significant digits.

36. log x = 0.6549 37. log x = 3.45 38. log x = –1.36

Solve each equation. a) calculation-ready form b) decimal form to 3 significant digits

39. 4x = 50 40. 63x = 42 41. 12 –2x = 27

Solve each equation using a calculator or logarithm to 3 significant digits.

42. [pic] 43. [pic] 44. [pic]

Solve each equation without using a calculator or logarithms.

45. [pic] 46. [pic]

Answers:

1. log3x = 5 2. log2128 = x 3. log5x = –4 4. log927 = x 5. 3

6. 4 7. [pic] 8. –4 9. 1 10. 6

11. 2 12. 0 13. 3log10a + [pic]log10b 14. [pic]log10a – 4log10b

15. [pic] 16. [pic] 17. 2.727 18. 1.834 19. 4.192

20. 9 21. 5 22. 2 23. 4 24. 14

25. 4 26. [pic] 27. –3 28. –2, 6 29. 6

30. 1.5587 31. –2.1278 32. 0.9659 33. 1720 34. 2.74

35. 44.9 36. 4.52 37. 2820 38. 0.0437 39. 2.82

40. 0.695 41. –0.663 42. 354 43. 200 44. 135

45. [pic] 46. [pic]

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