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Logarithms: what they mean

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Learn it log_b(x) = y means bʸ = x: a logarithm is an exponent. log x (no base written) means base 10. So log₂ 8 = 3 because 2³ = 8, and log 1000 = 3 because 10³ = 1000.

Example: Evaluate log₃ 81.

  1. 3 to what power is 81?
  2. 3⁴ = 81, so log₃ 81 = 4.

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