91Ó°ÊÓ

Write the equation $7^{-2}=\frac{1}{49}$ in logarithmic form.

Match each function with its graph.

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

Solve the equation ${\left(\frac{1}{7}\right)}^{y-3}=343$. Check your solution.

Solve the inequality ${16}^n<8^{n+1}$. Check your solution.

Solve the equation ${10}^{x-1}={100}^{2x-3}$. Check your solution.

Solve the equation ${36}^{2p}={216}^{p-1}$. Check your solution.

Solve the inequality ${32}^{5p+2}â‰\yen {16}^{5p}$. Check your solution.

Solve the equation $3^{5x}·{81}^{1-x}=9^{x-3}$. Check your solution.

Solve the equation ${49}^x=7^{x^2-15}$. Check your solution.

The number of bacteria in a colony is growing exponentially.

Write an exponential function to model the population y of bacteria x hours after 2 P.M.