91Ó°ÊÓ

Write each equation in its equivalent exponential form. $$2=\log _{3} x$$

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

Approximate each number using a calculator. Round your answer to three decimal places. $$3^{\sqrt{5}}$$

The exponential models describe the population of the indicated country, \(A,\) in millions, \(t\) years after \(2010 .\) Use these models. $$\begin{aligned}&\text { India } \quad A=1173.1 e^{0.008 t}\\\&\text {lnaq}-A=31.5 e^{0.019}\\\ &\text { Japan } \quad A=127.3 e^{-0.006 t}\\\&\text { Russia } \quad A=141.9 e^{-0.005 t}\end{aligned}$$ Which countries have a decreasing population? By what percentage is the population of these countries decreasing each year?

Solve each exponential equation in Exercises \(1-22\) by expressing each side as a power of the same base and then equating exponents $$5^{x}=625$$

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$\log _{9}(9 x)$$

Write each equation in its equivalent exponential form. $$2=\log _{9} x$$

Approximate each number using a calculator. Round your answer to three decimal places. $$5^{\sqrt{3}}$$

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$\log (1000 x)$$

Write each equation in its equivalent exponential form. $$5=\log _{b} 32$$