ALEKS - Exponentials and Logarithms

Rewrite as a logarithmic equation.

$$9^2=81$$

Solve for x.

Write the exact answer using either

base-10 or base-e logarithms.

$$11^{-9x}=18^{5+x}$$

An amount of 42,000 is borrowed for 5 years at 3% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?

Round your answer to the nearest dollar.

A principal of $3300 is invested at 7.25% interest, compounded annually. How many years will it take to accumulate $5000 or more in the account?

Write the smallest possible whole number answer.

Evaluate.

$$\log_9\ \frac{1}{81}$$

Solve for x. Simplify your answer as much as possible.

$$\log_{32}x=\frac{1}{5}$$

Graph the exponential function.

$$g\left(x\right)=\left(2\right)^x$$

Write the expression as a single logarithm.

$$7\log_{b\ }\left(3y+1\right)+\frac{1}{5}\log_b\left(y+8\right)$$

Solve for the variable in the equation below. Round your answer to the nearest hundredth.

$$e^y=12$$

Graph the equation below:

$$y=2^x-3$$