# What is the natural logarithm of e?

What the natural logarithm of the e constant (Euler's constant)?

ln(*e*) = ?

The natural logarithm of a number x is defined as the base e logarithm of x:

ln(*x*) = log_{e}(*x*)

So the natural logarithm of e is the base e logarithm of e:

ln(*e*) = log_{e}(*e*)

ln(e) is the number we should raise e to get e.

*e*^{1} = *e*

So the natural logarithm of e is equal to one.

ln(*e*) = log_{e}(*e*) = 1

Natural logarithm of infinity ►