5.4E: Logarithmic Functions (Exercises)

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Feb 8, 2022
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- 5.4: Logarithmic Functions
- 5.5: Graphs of Logarithmic Functions

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13. Rewrite $\log _{17}(4913)=x$ as an equivalent exponential equation.

14. Rewrite $\ln (s)=t$ as an equivalent exponential equation.

15. Rewrite $a^{- \frac{2}{5}}=b$ as an equivalent logarithmic equation.

16. Rewrite $e^{-3.5}=h$ as an equivalent logarithmic equation.

17. Solve for $x$ if $\log _{64}(x)=\frac{1}{3}$ by converting to exponential form.

18. Evaluate $\log _{5}\left(\frac{1}{125}\right)$ without using a calculator.

19. Evaluate $\log (0.000001)$ without using a calculator.

20. Evaluate $\log (4.005)$ using a calculator. Round to the nearest thousandth.

21. Evaluate $\ln \left(e^{-0.8648}\right)$ without using a calculator.

22. Evaluate $\ln (\sqrt[3]{18})$ using a calculator. Round to the nearest thousandth.

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