The natural logarithm, formerly known as the
hyperbolic logarithm, is the
logarithm to the
base e, where e is an
irrational constant approximately equal to 2.718281828459. In simple terms, the natural logarithm of a number x is the power to which e would have to be raised to equal x — for example the natural log of e itself is 1 because e1 = e, while the natural logarithm of 1 would be 0, since e0 = 1. The natural logarithm can be defined for all positive
real numbers x as the
area under the curve y = 1/t from 1 to x, and can also be defined for non-zero
complex numbers as explained below.
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