지수함수와 로그함수 전체 문제

Solve Exponential Equations

In the following exercises, solve each equation.

${4}^{x+2}=64$

Solve Exponential Equations

In the following exercises, solve each equation.

${4}^{x+3}=16$

Solve Exponential Equations

In the following exercises, solve each equation.

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

Solve Exponential Equations

In the following exercises, solve each equation.

${3}^{{x}^{2}-2x}=\frac{1}{3}$

Solve Exponential Equations

In the following exercises, solve each equation.

${e}^{3x}\cdot {e}^{4}={e}^{10}$

Solve Exponential Equations

In the following exercises, solve each equation.

${e}^{2x}\cdot {e}^{3}={e}^{9}$

Solve Exponential Equations

In the following exercises, solve each equation.

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

Solve Exponential Equations

In the following exercises, solve each equation.

$\frac{{e}^{{x}^{2}}}{{e}^{3}}={e}^{2x}$

In the following exercises, match the graphs to one of the following functions: ⓐ ${2}^{x}$ ⓑ ${2}^{x+1}$ ⓒ ${2}^{x-1}$ ⓓ ${2}^{x}+2$ ⓔ ${2}^{x}-2$ ⓕ ${3}^{x}$

In the following exercises, match the graphs to one of the following functions: ⓐ ${2}^{x}$ ⓑ ${2}^{x+1}$ ⓒ ${2}^{x-1}$ ⓓ ${2}^{x}+2$ ⓔ ${2}^{x}-2$ ⓕ ${3}^{x}$

In the following exercises, match the graphs to one of the following functions: ⓐ ${2}^{x}$ ⓑ ${2}^{x+1}$ ⓒ ${2}^{x-1}$ ⓓ ${2}^{x}+2$ ⓔ ${2}^{x}-2$ ⓕ ${3}^{x}$

In the following exercises, match the graphs to one of the following functions: ⓐ ${2}^{x}$ ⓑ ${2}^{x+1}$ ⓒ ${2}^{x-1}$ ⓓ ${2}^{x}+2$ ⓔ ${2}^{x}-2$ ⓕ ${3}^{x}$

In the following exercises, match the graphs to one of the following functions: ⓐ ${2}^{x}$ ⓑ ${2}^{x+1}$ ⓒ ${2}^{x-1}$ ⓓ ${2}^{x}+2$ ⓔ ${2}^{x}-2$ ⓕ ${3}^{x}$

In the following exercises, match the graphs to one of the following functions: ⓐ ${2}^{x}$ ⓑ ${2}^{x+1}$ ⓒ ${2}^{x-1}$ ⓓ ${2}^{x}+2$ ⓔ ${2}^{x}-2$ ⓕ ${3}^{x}$

Edgar accumulated $\char36 5,000$ in credit card debt. If the interest rate is $20\%$ per year, and he does not make any payments for 2 years, how much will he owe on this debt in 2 years by each method of compounding? ⓐ compound quarterly ⓑ compound monthly ⓒ compound continuously

Cynthia invested $\char36 12,000$ in a savings account. If the interest rate is $6\%,$ how much will be in the account in 10 years by each method of compounding? ⓐ compound quarterly ⓑ compound monthly ⓒ compound continuously

Rochelle deposits $\char36 5,000$ in an IRA. What will be the value of her investment in 25 years if the investment is earning $8\%$ per year and is compounded continuously?

Nazerhy deposits $\char36 8,000$ in a certificate of deposit. The annual interest rate is $6\%$ and the interest will be compounded quarterly. How much will the certificate be worth in 10 years?

A researcher at the Center for Disease Control and Prevention is studying the growth of a bacteria. He starts his experiment with 100 of the bacteria that grows at a rate of $6\%$ per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours?

A biologist is observing the growth pattern of a virus. She starts with 50 of the virus that grows at a rate of $20\%$ per hour. She will check on the virus in 24 hours. How many viruses will she find?