Definitions for natural logarithm

This page provides all possible meanings and translations of the word natural logarithm

Princeton's WordNetRate this definition:(0.00 / 0 votes)

  1. natural logarithm, Napierian logarithm(noun)

    a logarithm to the base e

WiktionaryRate this definition:(0.00 / 0 votes)

  1. natural logarithm(Noun)

    The logarithm in base e; either the function that given returns such that or the value of .

  2. Origin: From log naturalis, coined in 1668 by Nicholas Mercator in his book Logarithmo-technica.

FreebaseRate this definition:(0.00 / 0 votes)

  1. Natural logarithm

    The natural logarithm is the logarithm to the base e, where e is an irrational and transcendental constant approximately equal to 2.718281828. The natural logarithm is generally written as ln x, loge x or sometimes, if the base of e is implicit, as simply log x. Parentheses are sometimes added for clarity, giving ln(x), loge(x) or log(x). This is done in particular when the argument to the logarithm is not a single symbol, in order to prevent ambiguity. The natural logarithm of a number x is the power to which e would have to be raised to equal x. For example, ln is 2, because e²=7.389.... The natural log of e itself is 1 because e¹ = e, while the natural logarithm of 1 is 0, since e0 = 1. The natural logarithm can be defined for any positive real number a as the area under the curve y = 1/x from 1 to a. The simplicity of this definition, which is matched in many other formulas involving the natural logarithm, leads to the term "natural." The definition can be extended to non-zero complex numbers, as explained below. The natural logarithm function, if considered as a real-valued function of a real variable, is the inverse function of the exponential function, leading to the identities:

Translations for natural logarithm

From our Multilingual Translation Dictionary

Get even more translations for natural logarithm »


Find a translation for the natural logarithm definition in other languages:

Select another language:

Discuss these natural logarithm definitions with the community:

Word of the Day

Would you like us to send you a FREE new word definition delivered to your inbox daily?

Please enter your email address:     


Use the citation below to add this definition to your bibliography:


"natural logarithm." STANDS4 LLC, 2015. Web. 1 Apr. 2015. < logarithm>.

Are we missing a good definition for natural logarithm? Don't keep it to yourself...

The Web's Largest Resource for

Definitions & Translations

A Member Of The STANDS4 Network

Nearby & related entries:

Alternative searches for natural logarithm:

Thanks for your vote! We truly appreciate your support.