Learn how to solve exponential equations problems step by step online. Solve the exponential equation 100^x=100. Decompose 100 in it's prime factors. Simplify \left(10^{2}\right)^x using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals x. Rewrite the number 100 as a power with base 10 so that we have exponentials with the same base on both sides of the equation. If the bases are the same, then the exponents must be equal to each other.

Solve the exponential equation 100^x=100