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 \(1-6\) Indis \(\quad A=1173.1 e^{0.005 t}\) Ing \(\quad A=31.5 e^{0.018}\) Japer \(\quad A=127.3 e^{-0.006 t}\) Restis \(\quad A=141.9 e^{-0.005 t}\) What was the population of Japan in \(2010 ?\)

In Exercises \(1-10,\) approximate each number using a calculator. Round your answer to three decimal places. $$ 2^{3.4} $$

Write each equation in its equivalent exponential form. $$ 4=\log _{2} 16 $$

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. $$ \log _{5}(7 \cdot 3) $$

Solve each exponential equation in Exercises \(1-22\) by expressing each side as a power of the same base and then equating exponents. $$ 3^{x}-81 $$

Write each equation in its equivalent exponential form. $$ 6=\log _{2} 64 $$

In Exercises \(1-10,\) approximate each number using a calculator. Round your answer to three decimal places. $$ 3^{2.4} $$

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. $$ \log _{7}(7 x) $$

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

The exponential models describe the population of the indicated country, \(A,\) in millions, \(t\) years after \(2010 .\) Use these models to solve Exercises \(1-6\) Indis \(\quad A=1173.1 e^{0.005 t}\) Ing \(\quad A=31.5 e^{0.018}\) Japer \(\quad A=127.3 e^{-0.006 t}\) Restis \(\quad A=141.9 e^{-0.005 t}\) Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?