91Ó°ÊÓ

In Exercises 9–20, write each equation in its equivalent logarithmic form. $$ b^{3}=343 $$

graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. $$ f(x)=(0.8)^{x} $$

Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$ 9^{x}=\frac{1}{\sqrt[3]{3}} $$

Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$ 8^{x+3}=16^{x-1} $$

In Exercises 9–20, write each equation in its equivalent logarithmic form. $$ 7^{y}=200 $$

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \ln \sqrt[5]{x} $$

Use the exponential decay model for carbon-14, \(A=A_{0} e^{-0.000121 t}\) to solve Exercises \(19-20\) Skeletons were found at a construction site in San Francisco in \(1989 .\) The skeletons contained \(88 \%\) of the expected amount of carbon- 14 found in a living person. In \(1989,\) how old were the skeletons?

In Exercises 9–20, write each equation in its equivalent logarithmic form. $$ 8^{y}=300 $$

Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$ 8^{1-x}=4^{x+2} $$

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \ln \sqrt[7]{x} $$