1. If f(x) = 8x + 16,then find f^-1(x).
2. Determine if the following functions are inverses of each other: f(x) = 7x + 14 g(x) = (1/7)x - 2
3. Write the exponential equation y = 5^x in logarithmic form.
4. Write the logarithmic equation log₇x =y in exponential form.
5. Use the change-of-base formulato convertx=log₃90 to common logarithms. Then use a calculator to roundthe value of xto the nearest thousandth.
6. Find the amount of money accumulated if you invest $10,000 at 3% interest compounded quarterly for 2 years. Round your answer to the nearest cent.
7. Find the amount of money accumulated if you invest $10,000 at 3% interest compounded continuously for 2 years. Round your answer to the nearest cent.
8. Solve the following exponential equation: 5^x = 2 Round your solution to the nearest hundredth.
9. Solve the following exponential equation: e^x = 10 Round your solution to the nearest hundredth.
10. Solve the following logarithmic equation: log₇x + log₇(3x-2) = 0 Be sure to check all of your solutions in the original equation.