The abbreviation log x is often used when the intended base can be inferred based on the context or discipline, or when the base is indeterminate or immaterial.

Logarithmic function The logarithmic function has the basic form of: f (x) = log b (x)

In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number?

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This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.

May 10, 2026 · Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8.

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