Definition of natural logarithm in English:

natural logarithm

(US loge) (also ln)


  • A logarithm to the base e (2.71828…)

    • ‘All variables used in this study were transformed to natural logarithms before the correlation analyses were performed.’
    • ‘Normally, when mathematicians talk about logarithms, they mean so-called natural logarithms, which are logarithms to base e.’
    • ‘Due to a skewed distribution of the summed scale, the natural logarithm was used in the analysis.’
    • ‘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.’
    • ‘Having arrived at the above equation, we can use the exponential function and the natural logarithm to solve it.’
    • ‘In his spare time, between 1844 and 1847, he calculated the natural logarithms of the first 1005000 numbers to 7 decimal places.’
    • ‘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.’
    • ‘Euler asserts that the sum of the harmonic series equals the natural logarithm of infinity plus a quantity that is nearly a constant.’
    • ‘Variables were transformed with natural logarithms or square roots to normalize residuals.’


natural logarithm

/ˈnaCH(ə)rəl ˈlôɡəˌriT͟Həm/