How do you find the inverse of $f(x) =10^x$ ?

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Answer 1 · 2015-12-22T22:25:47

$f^(-1)(x)=logx$

By definition, $y=f^(-1)(x)ifff(y)=x$

$iff10^y=x$

$iffy=logx$

Hence the original function looks like this
graph{10^x [-12.22, 5.555, -1.634, 7.25]}

The inverse function looks like this
graph{logx [-2.71, 13.09, -5.796, 2.1]}

How do you find the inverse of f(x) =10^xf(x) =10^x?