# What is the inverse function of #f(x) =10^x#?

Take logs of both sides giving:

Or better still use log to base 10 giving:

Giving:

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The inverse function of ( f(x) = 10^x ) is ( f^{-1}(x) = \log_{10}(x) ), also written as ( f^{-1}(x) = \log(x) ).

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