I have a hard time understanding why ln

ddcon4r 2022-07-12 Answered
I have a hard time understanding why ln e = 1
Can someone explain to me why the natural logarithm of e is exactly equal to the first nonzero but positive integer?
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Answers (2)

Bruno Dixon
Answered 2022-07-13 Author has 14 answers
It depends on how you define the natural logarithm; but, let's do it this way:
By definition, ln ( x ) is the unique number y such that e y = x. In other words, the natural logarithm g ( x ) = ln ( x ) is the inverse function for the exponential function f ( x ) = e x .
So, ln ( e ) = 1 because e 1 = e
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vasorasy8
Answered 2022-07-14 Author has 2 answers
that is the definition of ln (logarithm in base e):
if you take log 2 (logarithm in base 2) then log 2 ( 2 ) = 1 and log 2 ( e ) = 1 / ln ( 2 )
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