# natural logarithm

## noun

: a logarithm with e as a base

## Examples of natural logarithm in a Sentence

Recent Examples on the Web The key breakthrough occurred in 1873, when Charles Hermite devised an ingenious technique to prove that e, the base of the natural logarithm, is transcendental. Quanta Magazine, 27 June 2023 Then click the natural logarithm (or ln) function. Wyatte Grantham-Philips, USA TODAY, 13 July 2020 This geometric structure is closely connected to important ideas in trigonometry, like the angle sum and difference formulas for sine and cosine, the theory of rotations of the plane, and e, the base of the natural logarithm function. Quanta Magazine, 23 Sep. 2021 This is despite the fact that the actual number of primes will always equal an integer, while on the other side of the asymptotic equality, the fraction involving the natural logarithm function could equal any value on the real number line. Quanta Magazine, 22 July 2020 The chart below plots the natural logarithm of total cases on the vertical axis with the time index on the horizontal. Rupa Subramanya, Quartz India, 13 Apr. 2020 The actual percent is 1/e, where the base is the natural logarithm. Courtney Linder, Popular Mechanics, 14 Feb. 2020 Also called the Euler-Mascheroni constant, it is defined as the limiting difference between the natural logarithm the harmonic series. Avery Thompson, Popular Mechanics, 5 Oct. 2016 See More

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'natural logarithm.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

## Word History

First Known Use

1746, in the meaning defined above

Time Traveler
The first known use of natural logarithm was in 1746

## Dictionary Entries Near natural logarithm

natural logarithm

## Cite this Entry

“Natural logarithm.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/natural%20logarithm. Accessed 3 Mar. 2024.

## More from Merriam-Webster on natural logarithm

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