The inverse of the exponential function

[dalterego]

The inverse of the exponential function...

Homework Statement

Find the inverse of the function = e ^ (x^3)

Homework Equations

The inverse of the exponential function = the natural logarithm of that same function

The Attempt at a Solution

inverse of f(x) = ln(x^3) ?

This doesn't seem right.

 

[Defennder]

Nope. Let y=e^(x^3). Take Ln of both sides and express x in terms of y. Then replace y with x and you're done.

 

[dalterego]

Alright, so is the answer

inverse of the function = (ln x)^1/3 ?

 

[Defennder]

Yeah.