91Ó°ÊÓ

Write each equation in its equivalent logarithmic form. $$5^{-3}=\frac{1}{125}$$

Solve each exponential equation in Exercises \(1-22\) 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. $$\log _{5}\left(\frac{125}{y}\right)$$

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

Write each equation in its equivalent logarithmic form. $$\sqrt[3]{8}=2$$

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 in Exercises \(1-22\) by expressing each side as a power of the same base and then equating exponents $$3^{1-x}=\frac{1}{27}$$

Solve each exponential equation in Exercises \(1-22\) by expressing each side as a power of the same base and then equating exponents $$5^{2-x}=\frac{1}{125}$$

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$\ln \left(\frac{e^{4}}{8}\right)$$