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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