# Math Help - inverse function

1. ## inverse function

12. Find the inverse function of g(x) = ln(x^3)

2. I'm not totally sure if this is the correct solution for solving this, but here it goes.

$y=\ln{x^3}$
Then change the variables
$x=ln{y^3}$

and after that you get y.

$e^x=y^3$

$y=\sqrt[3]{x}$

Hope i didn't mix this with something else.

3. Originally Posted by Pinsky
I'm not totally sure if this is the correct solution for solving this, but here it goes.

$y=\ln{x^3}$
Then change the variables
$x=ln{y^3}$

and after that you get y.

$e^x=y^3$

$y=\sqrt[3]{x}$ *

Hope i didn't mix this with something else.
All good 'til the line marked *

Should be $y=\sqrt[3]{e^x}$

$= e^\frac{x}{3}$

4. Right, typing error, tnx.

Had an exam in line,surface and triple integrals..

Still waiting for the results thou.