Question

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

Answer 1

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

Explanation:

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]}