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

---

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

See Examples For:

natural logarithm

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

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

From Textbooks ● Mar. 30, 2016

Since L’Hôpital’s rule applies to quotients, we use the natural logarithm function and its properties to reduce a problem evaluating a limit involving exponents to a related problem involving a limit of a quotient.

From Textbooks ● Mar. 30, 2016

When we have an equation with a base on either side, we can use the natural logarithm to solve it.

From Textbooks ● Feb. 13, 2015

We can also find the natural logarithm of any power of using the inverse property of logarithms.

From Textbooks ● Feb. 13, 2015