91Ó°ÊÓ

The exponential models describe the population of the indicated country, \(A,\) in millions, t years after \(2010 .\) Use these models to solve Exercises \(1-6\) $$ \begin{aligned} &India \quad A=1173.1 e^{0.008 t}\\\ &Iraq \quad A=31.5 e^{0.019 t}\\\ &Japan \quad A=127.3 e^{-0.006 t}\\\ &Russia \quad A=141.9 e^{-0.005 t} \end{aligned} $$ What was the population of Japan in \(2010 ?\)

approximate each number using a calculator. Round your answer to three decimal places. $$ 2^{3.4} $$

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log _{5}(7 \cdot 3) $$

Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$ 2^{x}=64 $$

In Exercises 1–8, write each equation in its equivalent exponential form. $$ 4=\log _{2} 16 $$

approximate each number using a calculator. Round your answer to three decimal places. $$ 3^{2.4} $$

The exponential models describe the population of the indicated country, \(A,\) in millions, t years after \(2010 .\) Use these models to solve Exercises \(1-6\) $$ \begin{aligned} &India \quad A=1173.1 e^{0.008 t}\\\ &Iraq \quad A=31.5 e^{0.019 t}\\\ &Japan \quad A=127.3 e^{-0.006 t}\\\ &Russia \quad A=141.9 e^{-0.005 t} \end{aligned} $$ What was the population of Iraq in \(2010 ?\)

In Exercises 1–8, write each equation in its equivalent exponential form. $$ 6=\log _{2} 64 $$

Solve each exponential equation by expressing each side as a power of the same base and then equating exponents. $$ 3^{x}=81 $$

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $$ \log _{8}(13 \cdot 7) $$