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Laws of logarithms

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Learn it Product law: log(xy) = log x + log y. Quotient law: log(x/y) = log x − log y. Power law: log(xⁿ) = n log x. Use them to combine logs into one, then evaluate.

Example: Evaluate log₂ 24 − log₂ 3.

  1. Quotient law: log₂(24 ÷ 3) = log₂ 8.
  2. 2³ = 8, so the answer is 3.

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