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log b (b) = 1. gslot77 login For example, the base two logarithm of two is one: log 2 (2) = 1 Logarithm derivative When f (x) = log b (x) Then the derivative of f(x): f ' (x) = 1 / (x ln(b) ) See: log derivative Logarithm integral The integral of logarithm of x: ∫ log b (x) dx = x ∙ ( log b (x) - 1 / ln(b)) + C For example: ∫ log 2 (x) dx = x