14-10-2016
Mathematics

Answered

The inverse of an exponential function is the logarithmic function. True or False?

I thought it was the other way around. Or does it work both ways?

Verified Answer :

14-10-2016

For one-to-one functions, the inverse of an exponential function is a logarithmic function and the inverse of a logarithmic function is an exponential function.
For example:
\(f(x)=e^{x}\)
\(f^{-1} (x)=ln\ x\)

\(f(x)=ln\ x\)
\(f^{-1} x=e^{x}\)

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