How do you find the inverse of $f(x)=4^x$ and is it a function?

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Answer 1 · 2016-05-02T16:06:43

$f^-1(x)=log_4 x$ ---> is a function.

$y=4^x$

$x=4^y$ ---> Switch x and y

$logx=log 4^y$

$log x =y log 4$

$y=log x/log4$

$y=log_4 x$ --> Inverse

$f^-1(x)=log_4 x$

How do you find the inverse of f(x)=4^xf(x)=4^x and is it a function?