Precalculus

How to solve

log_b(x) answers one question: b raised to what exponent gives x?

Steps

  1. Rewrite the argument as a power of the base.
  2. The exponent is the answer.
  3. log_b(1) = 0 and log_b(b) = 1 always.

Example

Evaluate log₂(32).

  1. 2⁵ = 32.
  2. So log₂(32) = 5.

Answer: 5

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