College Algebra / Unit 8 Alg 463 short lesson, about 20 seconds
The One-to-One Property of Exponential Functions
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The idea
The one-to-one property of exponential functions says equal powers of one base force equal exponents: bˣ = bʸ means x = y.
In practice
2^(x+1) = 2⁵ collapses to x + 1 = 5, so x = 4 — the base drops away and a linear equation remains.
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