Two exponential expressions with the same base are equal. What follows?

1. An exponential function with a positive base other than 1 is one to one. 2. So two equal powers of that base can only come from equal exponents. 3. Setting the exponents equal turns the exponential equation into an ordinary one to solve. _Source: OpenStax Precalculus (CC BY 4.0), section 4.6 Exponential and Logarithmic Equations_