Exponential Equations

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Solve 10 to the negative x power = 4. Give an exact solution and an approximate solution, rounded to 6 decimal places.
Solve e to the 3x power = 12. Give an exact solution and an approximate solution, rounded to 6 decimal places.
Solve 3 to the 2x minus 1 power = 5. Give an exact solution and an approximate solution, rounded to 6 decimal places.
Solve 10 to the 1 minus x power = 6 to the x power. Give an exact solution and an approximate solution, rounded to 6 decimal places.
Solve the fraction with numerator 10 and denominator 1 + e to the negative x power = 2. Give an exact solution and an approximate solution, rounded to 6 decimal places.
Suppose you invest an amount of money in a savings accoutn paying 9% annual interest, compounded monthly. How long would it take for the money to triple in value?