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The expression exp z instead of ez is used for the exponential function to make it easier to read.



Sometimes the exponent gets complicated during a calculation, like in

and you may prefer writing it as


Example 1

Euler's identity can be written as

e + 1 = 0   or    exp (iπ) = –1


Example 2

Logarithms can be written as

ln ez = z      or    ln (exp z) = z

az = ez ln a   or    az = exp (z lna)


Example 3

The power series for the exponential function can be written as


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