College Algebra / Unit 8 Alg 467 short lesson, about 20 seconds
The One-to-One Property of Logarithms
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The idea
The one-to-one property of logarithms says equal logs with one base force equal inputs: log_b(M) = log_b(N) means M = N.
In practice
log₂(x + 1) = log₂(9) collapses to x + 1 = 9, so x = 8 — and 9 is safely positive, so the answer stands.
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