natural logarithm

American  

noun

Mathematics.

1. a logarithm having e as a base. ln

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natural logarithm British  

noun

1. Also called: Napierian logarithm.  a logarithm to the base e. Usually written log e or ln Compare e common logarithm

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natural logarithm Scientific  

1. A logarithm using base e. Natural logarithms are common in mathematics, especially in cases involving complex numbers. They are also called Napierian logarithms, after their inventor, English mathematician John Napier (1550–1617).

2. See more at e Compare common logarithm

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Etymology

Origin of natural logarithm

First recorded in 1810–20

Example Sentences

In that case we often take the common logarithm or natural logarithm of both sides once the exponential is isolated.

From Textbooks • May 6, 2020

When the exponential has base e, we use the natural logarithm.

From Textbooks • May 6, 2020

As a result, the inverse hyperbolic functions involve the natural logarithm.

From Textbooks • Mar. 30, 2016

The cornerstone of the development is the definition of the natural logarithm in terms of an integral.

From Textbooks • Mar. 30, 2016

To evaluate this limit, we use the natural logarithm function.

From Textbooks • Mar. 30, 2016