6.3E: Logarithmic Functions (Exercises)
- Page ID
- 56089
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)
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.