Mathematics - Exponential (Euler's number)


<math> e \approx 2:71828</math> is the scientific constant, the exponential. Euler's number

The number e is an important mathematical constant that is the base of the natural logarithm.

The number e can be defined to be:

  • the unique real number a such that

<MATH> ln(a) = 1 </MATH>

  • the limit of the below hyperbola as n approaches infinity,

<MATH> (1 + \frac{1}{n})^n </MATH>


e to anything is positive.


ln is the inverse function.

<MATH> ln(e(x))=x </MATH>

Whenever you see exponentials the first thing you want to do is take the logs.

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