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College Algebra / Unit 8   Alg 426 short lesson, about 20 seconds

The Logarithm

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The idea

A logarithm answers the exponent question: log base b of y is the exponent x with bˣ = y — written log_b(y) = x exactly when bˣ = y.

In practice

log₂(8) = 3, because 2³ = 8. The log hunts the exponent the way solving hunts the input.

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