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**If f(x) = 8x + 16, then find f -1(x).****Determine if the following functions are inverses of each other:**

**f(x) = 7x + 14**

**g(x) = (1/7)x – 2****Write the exponential equation y = 5x****in logarithmic form.****Write the logarithmic equation log7x = y in exponential form.****Use the change-of-base formula to convert x=log390 to common logarithms. Then use a calculator to round the value of x to the nearest thousandth.****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.****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.****Solve the following exponential equation:**

**5x****= 2**

**Round your solution to the nearest hundredth.****Solve the following exponential equation:**

**ex****= 10**

**Round your solution to the nearest hundredth.****Solve the following logarithmic equation:**

**log7x + log7(3x-2) = 0**

**Be sure to check all of your solutions in the original equation**

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