지수함수와 로그함수 전체 문제

In the following exercises, find the inverse of each function.

$f(x)={x}^{3}+13$

In the following exercises, find the inverse of each function.

$f(x)=\frac{1}{x+5}$

In the following exercises, find the inverse of each function.

$f(x)=\sqrt[5]{x-1}$

Graph Exponential Functions

In the following exercises, graph each of the following functions.

$f(x)={4}^{x}$

Graph Exponential Functions

In the following exercises, graph each of the following functions.

$f(x)={\left(\frac{1}{5}\right)}^{x}$

Graph Exponential Functions

In the following exercises, graph each of the following functions.

$g(x)={(0.75)}^{x}$

Graph Exponential Functions

In the following exercises, graph each of the following functions.

$g(x)={3}^{x+2}$

Graph Exponential Functions

In the following exercises, graph each of the following functions.

$f(x)={(2.3)}^{x}-3$

Graph Exponential Functions

In the following exercises, graph each of the following functions.

$f(x)={e}^{x}+5$

Graph Exponential Functions

In the following exercises, graph each of the following functions.

$f(x)=-{e}^{x}$

Solve Exponential Equations

In the following exercises, solve each equation.

${3}^{5x-6}=81$

Solve Exponential Equations

In the following exercises, solve each equation.

${2}^{{x}^{2}}=16$

Solve Exponential Equations

In the following exercises, solve each equation.

${9}^{x}=27$

Solve Exponential Equations

In the following exercises, solve each equation.

${5}^{{x}^{2}+2x}=\frac{1}{5}$

Solve Exponential Equations

In the following exercises, solve each equation.

${e}^{4x}\cdot {e}^{7}={e}^{19}$

Solve Exponential Equations

In the following exercises, solve each equation.

$\frac{{e}^{{x}^{2}}}{{e}^{15}}={e}^{2x}$

Felix invested $\char36 12,000$ in a savings account. If the interest rate is $4\%$ how much will be in the account in 12 years by each method of compounding?

ⓐ compound quarterly ⓑ compound monthly ⓒ compound continuously.

Sayed deposits $\char36 20,000$ in an investment account. What will be the value of his investment in 30 years if the investment is earning $7\%$ per year and is compounded continuously?

A researcher at the Center for Disease Control and Prevention is studying the growth of a bacteria. She starts her experiment with 150 of the bacteria that grows at a rate of $15\%$ per hour. She will check on the bacteria every 24 hours. How many bacteria will he find in 24 hours?

In the last five years the population of the United States has grown at a rate of $0.7\%$ per year to about 318,900,000. If this rate continues, what will be the population in 5 more years?