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logarithm

Inverse of the exponential function, which maps products to sums

Entitytype of mathematical functionQ11197

Also known as log · logarithmic function · logarithm function · logarithms

Instance of: type of mathematical function
Subclass of: multivalued function
, transcendental function
, binary operation

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the 3rd power: 1000 = 103 = 10 × 10 × 10. More generally, if x = by, then y is the logarithm of x to base b, written logb x = y, so log10 1000 = 3. As a single-variable function, the logarithm to base b is the inverse of exponentiation with base b.

Overview

All data

75 statements · 17% with external sources · numbers in brackets are citations

Opposite of: exponential function criterion used: inverse function
Approximation algorithm: CORDIC
Discovered by: John Napier
1
Sources
1.“Calculus and Analytic Geometry”archive.org/details/isbn_020175407
View statement on Wikidata ↗
Has characteristic: properties of logarithms
Identity element: none

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54 identifiers linking logarithm across the web's reference databases

Data quality

statements

17%

externally sourced

Source last edited August 31, 2026. AIDB refreshes this page daily.

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AIDB. (2026). logarithm (Q11197). Retrieved from https://aidb.si/e/logarithm-Q11197