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CPB Algebra 2
Logarithms Review
Write each equation in logarithmic form.
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1. 53  125
2. 27 3  81
3. 2 9  512
4. 8 1 
5. 6 0  1
6. 10 3  0.001
Write each equation in exponential form.
7. 4  log 2 16
8. 4  log10, 000
9. 3  log 1 27
10. 2  log17 289
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8
3
11. 2  log12
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144
12. 0  log56 1
Solve for x without using the log key.
13. x  log 2 8
14. x  log5 125
15. x  log1, 000
16. x  log 1
17. 3  log3 x
18. 2  log 6 x
19. 2  log 1 x
20. 5  log x
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4 16
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Solve for x with a calculator.
21. x  log3 21
22. x  log 4 24
23. x  log5 42
24. 900  log x
25. x  log 1 10
26. x  log 7 39
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Rewrite each expression using a single logarithm.
27. (4log5 x  5log5 y)  log5 z
29.
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(4 log 2 x  log 2 y )
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28. (3log 7 m  12log 7 n)  3log 7 p
30. 40log3 t  (8log3 w  16log3 x)
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(4 log 2 3  log 2 b)
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31. 6(log8 5  log8 m)
32.
33. (8log5 a  12log5 b)  2log5 c
34. 4(log7 a  log7 b)
35. 12log 2 x  (16log 2 y  12log 2 z )
36. (log x a  log x b)  log x c
37. 4(log5 8  log5 3)
38. (20log 7 g  12log 7 h)  4log 7 k
39. 8log3 u  (4log3 v  10log3 w)
40.
1
(2 log 2 4  log 2 w)
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