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natural logarithm

American  

noun

Mathematics.
  1. a logarithm having e as a base. ln


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

"Collins English Dictionary — Complete & Unabridged" 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

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


Etymology

Origin of natural logarithm

First recorded in 1810–20

Example Sentences

Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.

See Examples For:

Here’s the conversion formula the scientists came up with: Human age is equal to 16 multiplied by the natural logarithm of the dog’s age, plus 31.

From Seattle Times Apr. 22, 2022

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

Since this function uses natural e as its base, it is called the natural logarithm.

From Textbooks Mar. 30, 2016

Take the natural logarithm of both sides. ln y = r ln x Step 2.

From Textbooks Mar. 30, 2016

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

From Textbooks Mar. 30, 2016

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