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∫ log b (x) dx = x ∙ ( log b (x) - 1 / ln (b) ) + c for example: ∫ log 2 (x) dx = x ∙ ( log 2 (x) - 1 / ln (2) ) + c logarithm approximation log 2 (x) ≈ n + (x /2 n . The logarithm, or log, is the inverse of the mathematical operation of exponentiation.
This means that the log of a number is the number that a fixed base has to be raised to in order to yield. The log calculator (logarithm) calculates the value of a logarithm with an arbitrary base. Jan 13, 2026out of all these log rules, three of the most common are product, quotient, and power rules.
A quick way to remember the difference between “log” and “ln” is: “log” usually means log base 10 (common logarithm), and “ln” means log base e (natural logarithm, where e ≈ 2.718).