Name: ___________________________________ Date: ____________________ IP#5-­‐16: Exponential/Logarithm Review Part 1 I. Write each exponential equation in logarithmic form. 1. 25! = 1 2. 3! = 6561 3. 10!! = 0.001 4. 3 ! = 243 II. Write each logarithmic equation in exponential form. 5. log ! 16 = 2 6. log ! (16) = 4 7. log !.! 0.729 = 3 8. log ! 𝑥 = 3 III. Evaluate by using mental math or your calculator. 9. log ! 36 10. log !
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11. log ! 625 IV. Expand the following logs. !
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12. log!" 1 V. Condense the following logs. !
17. (log ! 𝑥 + log ! 𝑦) 18. 2 log ! 𝑥 + 5 log ! 𝑦 !
19. 4 log ! 𝑥 − 2 log ! 10 VI. Solve. 20. 3 log ! 𝑥 − 2log ! 𝑦 − log ! 𝑧 21. log ! 𝑥 − 1 − log ! 𝑥 − 8 = 4 22. log ! 3𝑥 + 4 = log ! 2𝑥 − 1 + 5 23. log ! 3𝑥 + 2 − log ! (4𝑥 + 3) = 3 24. log 5𝑥 + 1 = log 3𝑥 − 2 + 2 !
25. 4!! = 25 26. 6!! = 36 ! 27. 𝑥9 = 123 28. 𝑥3 = 424 5