College Algebra / Unit 8 Alg 453 short lesson, about 20 seconds
The Power Rule for Logarithms
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The idea
The power rule for logarithms pulls an exponent out front: log_b(Mᵖ) = p · log_b(M).
In practice
log₂(8²) = log₂(64) = 6, and 2 · log₂(8) = 2 · 3 = 6 — the exponent steps down to multiply.
Where people slip
The exponent must cover the whole input, not one factor of it.
Your place on the trail
Every lesson rests on earlier ones and opens later ones. Tap any to jump.
Builds on
- Nothing. This is a starting point.
Unlocks
- Nothing yet depends on this.
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