Definition of natural logarithm in US English:
 natural logarithm
(US loge) (also ln)
nounˈnaCH(ə)rəl ˈlôɡəˌriT͟Həm
Mathematics A logarithm to the base e (2.71828…).
(2.71828 …) 〔数〕自然对数
Example sentencesExamples
-  Normally, when mathematicians talk about logarithms, they mean so-called natural logarithms, which are logarithms to base e.
 -  According to the prime number theorem, the average gap length up to a certain prime equals the value of the natural logarithm of that prime.
 -  Benjamin can also handle magic squares, natural logarithms, cube roots, and much more.
 -  It has been known for over a century that as you progress up through the natural numbers, the average gap between one prime number p and the next is the natural logarithm of p.
 -  In his spare time, between 1844 and 1847, he calculated the natural logarithms of the first 1005000 numbers to 7 decimal places.
 -  Due to a skewed distribution of the summed scale, the natural logarithm was used in the analysis.
 -  Having arrived at the above equation, we can use the exponential function and the natural logarithm to solve it.
 -  Euler asserts that the sum of the harmonic series equals the natural logarithm of infinity plus a quantity that is nearly a constant.
 -  All variables used in this study were transformed to natural logarithms before the correlation analyses were performed.
 -  Variables were transformed with natural logarithms or square roots to normalize residuals.