Solving Exponential Equations

Overview

Goal. Solve exponential equations by rewriting both sides as powers of the same base and setting the exponents equal.

Same-base principle. If two powers with the same base are equal, their exponents must be equal.

Common bases: rewrite, set the exponents equal, and solve.

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Goal. Solve exponential equations by rewriting both sides as powers of one base, then setting the exponents equal.

Same-base principle. If two powers with the same base are equal, their exponents must be equal.