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Algebra 2 Unit 16 Review
Name
Period
Write each exponential equation in logarithmic form.
1.
92  81
2. 33  27
3. x 0  1
Write each logarithmic equation in exponential form.
4. log10 10  1
5. log12 144  2
6. log 1 8  3
2
Evaluate by using mental math (THIS MEANS SHOW YOUR WORK!)
7. log3 27
8. log 1
9. log 7 49
10. log 2 8
11. log 4 64
12. log 2 4
13. log 20 1
14. log7 343
Express as a single logarithm. Simplify if possible.
15. log 2.5 3.125  log2.5 5
16. log1.5 6.75  log1.5 2
17. log 5.4  log 0.054
18. ln 14 + ln 2
19. ln 3 – ln 5
20. ln 4 + ln 12
Evaluate (using change of base – you must write out the change base to get credit):
21.
log100.9
24. log 2 27
22. log8 32
23. log5 10
25. log428
26. log318
SOLVE each equation. (Round 2 decimal places)
27. 6 2 x  12
28. log 7 x  2
31. e 2 x  16
32. e 2 x 5  30
35. log4 x + log4 2 = log4 42 - log4 3
29. 123 x 2  6
33. ln y  5
36. ln (x - 5) = ln 6 + ln 3
30. 35 x  10
34. 3e x 3  12
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