91Ó°ÊÓ

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log _{4}\left(\frac{64}{y}\right) $$

Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$ 9^{x}=27 $$

In Exercises 9–20, write each equation in its equivalent logarithmic form. $$ 5^{-3}=\frac{1}{125} $$

graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. $$ f(x)=5^{x} $$

Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$ 125^{x}=625 $$

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log _{5}\left(\frac{125}{y}\right) $$

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \ln \left(\frac{e^{2}}{5}\right) $$

graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. $$ g(x)=\left(\frac{3}{2}\right)^{x} $$

Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$ 3^{1-x}=\frac{1}{27} $$

In Exercises 9–20, write each equation in its equivalent logarithmic form. $$ \sqrt[3]{8}=2 $$