Find Inverse of f(x) = x+2e(x)

[chrisparr]

Homework Statement

Let f(x)=x+2e(x). Find the inverse of f(x).

Homework Equations

e(a+b)=e(a)*e(b)
e(a-b)=e(a)/e(b)
ln(ab)=ln(a)+ln(b)
ln(a/b)=ln(a)-ln(b)
ln(a^b)=bln(a)

The Attempt at a Solution

Switch y and x so that
x=y+2e(y)
I tried applying ln to the functions at the start, subtracting y and then applying ln, applying ^2 to both sides but nothing seems to come of it. Any first suggestions?

 

[LCKurtz]

There is no "elementary algebra" way to solve that last equation for y.