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College Algebra / Unit 8   Alg 427 short lesson, about 20 seconds

Logarithms and Exponentials Are Inverses

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The idea

Each logarithmic function is the inverse of its exponential: log_b undoes bˣ, their graphs reflect across y = x, and each one's domain is the other's range.

In practice

The point (3, 8) on 2ˣ trades seats to (8, 3) on log₂ — the coordinate swap of every inverse pair.

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

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