91Ó°ÊÓ

Graph the function$g\left(x\right)=2^{x-3}$.

Solve the equation$2^{2x-4}=64$.

Solve the equation $\frac{e^{x^2}}{e^4}=e^{3x}$.

Megan invested $\$21000$in a savings account. If the interest rate is $5\%$, how much will be in the account in $8years$by each method of compounding?

Part (a): Compound quarterly

Part (b): Compound monthly

Part (c): Compound continuously

Convert the equation from exponential to logarithmic form:

${10}^{-2}=\frac{1}{100}$.

Convert the equation from logarithmic equation to exponential form:

$3={\log }_7\left(343\right)$

Solve forx:${\log }_5\left(x\right)=-3$

Evaluate${\log }_{11}1$

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

$f\left(x\right)=7x-1$

Evaluate${\log }_4\frac{1}{64}$