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Two exponential expressions with the same base are equal. What follows?
ATheir exponents are equal
BTheir bases must be 1
CTheir exponents are opposite
DTheir exponents add to zero
Answer & Solution
Correct answer: A. Their exponents are equal
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_