College Algebra / Alg 453 · Atom · ~20 seconds
The Power Rule for Logarithms
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The power rule for logarithms pulls an exponent out front: log_b(Mᵖ) = p · log_b(M).
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log₂(8²) = log₂(64) = 6, and 2 · log₂(8) = 2 · 3 = 6 — the exponent steps down to multiply.
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The exponent must cover the whole input, not one factor of it.
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