Question

What is the inverse of `y=log(4x)` ?

Answer 1

`x=e^y/4`

Explanation:

We must find a relation of the form `x=f(y)`. To do so, observe that, since exponential and logarithms are inverse one of the other, we have that `e^{log(x)}=x`. So, taking the exponential at both sizes, we have

`e^y = e^{log(4x)}`, which means

`e^y = 4x`, and finally

`x=e^y/4`