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Name: Score: ____/19 Logarithm Worksheet #1 ___/6 Changing Forms Write the equation in exponential form ( loga x = y x = ay ). 1. log3 27 = 3 2. log8 64 = 2 Write the equation in logarithmic form (x = ay loga x = y ). 4. 132 = 169 5. 5−3 = 125 ___/6 Evaluating Logarithms Evaluate the expression without using a calculator. 7. log12 144 8. log4 2 10. log10 0.001 11. log 3 3. log 0.1 = -1 1 1 6. 16−2 = 4 1 9. log 8 8 1 243 12. Log64 4 ____/4 Real-World Applications 13. In 2001, Charlottesville, Virginia had an earthquake of magnitude 3.2. In 1906, San Francisco, California had an earthquake of magnitude 7.7. Compare the amount of energy released by both earthquakes. 14. For each pH given, find the concentration of hydrogen ions [H+]. a. 7.2 b. 5.6 ____/3 Solving Equations Solve the equation for x. 15. log3 81 = x Logarithm Worksheet #1 16. log3 x = 5 c. 2.9 17. logx 243 = 5 Rev B