91Ó°ÊÓ

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

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \ln \left(\frac{e^{2}}{5}\right) $$

In Exercises \(11-18\), graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. $$ g(x)-\left(\frac{4}{3}\right)^{x} $$

Write each equation in its equivalent logarithmic form. $$ \sqrt[3]{64}=4 $$

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \ln \left(\frac{e^{x}}{8}\right) $$

An artifact originally had 16 grams of carbon-l4 present. The decay model \(\bar{A}-16 e^{-9000121}\) describes the amount of carbon- 14 present after \(t\) years. Use this model to solve Exercises \(15-16\). How many grams of carbon-14 will be present in 5715 years?

Write each equation in its equivalent logarithmic form. $$ 13^{2}=x $$

In Exercises \(11-18\), graph each function by making a table of coordinates. If applicable, use a graphing utility to confirm your hand-drawn graph. $$ h(x)-\left(\frac{1}{2}\right)^{x} $$

In Exercises \(1-40,\) use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log _{b} x^{3} $$

Write each equation in its equivalent logarithmic form. $$ 15^{2}=x $$