How do you find the inverse of $y=4^x$ ?

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Answer 1 · 2018-04-17T21:28:43

$y=lnx/ln4$

Switch the places of $x, y$ and subsequently solve for $y:$

$y=4^x$

$x=4^y$

$ln(4^y)=lnx$

We need to get an explicit solution, IE, isolate $y.$ Recalling that $ln(a^b)=blna$ :

$yln(4)=lnx$

$y=lnx/ln4$

How do you find the inverse of y=4^xy=4^x?