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Natural exponential function

The natural exponential function has the base e and is written as

f (x) = e^x = exp (x)

 

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Explanation

Exponential functions play a central role in mathematics. The number e, the basis of the natural logarithm, has to do with that. Because of this, the constant is abbrieviated by the letter e - from exponent.

 

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Example 1

Logarithms can be written as

ln e^z = z      or    ln (exp z) = z

a^z = e^z ln a   or    a^z = exp (z lna)

 

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