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Inverse of an exponential function
The inverse of the exponential function gx is the logarithm logg x.
Explanation
We take the exponential function
To determine the inverse function we have to answer the question: To what power do you have to raise the base g to find a? The answer is
to the power logg a
It is nothing but a number. The spelling frightens everyone in the beginning. Let's get over it quickly, so that
x = logg a
A logarithm is the inverse of an exponential function.
Exponential function Logarithmic function
