6.3E: Logarithmic Functions (Exercises)
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.