7.1.3 Logarithmic Functions − Worksheet
Example 1: Write each exponential equation in logarithmic form. 1. 2.4 0 = 1 2. 4 1.5 = 8
3. 10 − 2 = 0.01
4. 3 x = 243
Example 2: Write each logarithmic equation in exponential form. 5. log 4 0.0625 = − 2 6. log x ( − 16) = 3
7. log 0.9 0.81 = 2
8. log 6 x = 3
Example 3: Evaluate by using mental math. 9. log 7 343 10. log
1 9 3
11. log 0.5 0.25
12. log 1.2 1.44
Example 4: Use the given x -values to graph each function. Then graph its inverse. Describe the domain and
range of the inverse function. 13. f ( x ) = 5 x ; x = − 2, − 1, 0, 1, 1.5
14. f ( x ) = 0.5 x ; x = − 2, − 1, 0, 1, 2
Example 5: 15. The acid potential of a solution is given by pOH, where pOH = − log[OH − ], and OH − represents the concentration of hydroxide ions in moles per liter. The water in one sample contains a hydroxide ion concentration of 0.000000004. What is the pOH of the water?
110
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