How do you find the inverse of e^(2x ) and is it a function?

1 Answer
Jul 11, 2016

x=ln(y)/2

Explanation:

You have y=e^(2x).
To do the inverse you want to have somehing in the form

x=f(y)

To obtain this we start applying the inverse function og the exponential on both side of our firse equation. Such inverse is the ln

y=e^(2x)

ln(y)=ln(e^(2x))

ln(y)=2x

and now, dividing by two we have

x=ln(y)/2

that is the desired inverse function.