logarithms

logarithms articles on the Math Mental blog, with worked examples solved step by step.

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  1. Logarithms: definition, properties and worked examples

    The logarithm of a in base b is the exponent x such that b^x = a, with b > 0, b ≠ 1 and a > 0. The key rules are log(xy) = log x + log y, log(x/y) = log x − log y, log(xⁿ) = n · log x and the change of base log_b a = log a / log b. Logarithms turn exponential equations into linear ones.

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