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