Practice Solving Exponential Equations in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Using logarithms to solve equations where the unknown is in the exponent, such as a^x = b.
When the variable is trapped in an exponent, logarithms free it. Taking \log of both sides brings the exponent down to ground level where you can solve for it using algebra.
Example 1
easySolve 3^x = 81.
Example 2
mediumSolve 5^{2x-1} = 12.
Example 3
mediumSolve 2^{x+3} = 7^{x-1}.
Example 4
hardSolve e^{2x} - 5e^x + 6 = 0.