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

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- Jan 15th 2008, 12:52 PMrlarachinverse function
12. Find the inverse function of g(x) = ln(x^3)

- Jan 15th 2008, 01:34 PMPinsky
I'm not totally sure if this is the correct solution for solving this, but here it goes.

$\displaystyle y=\ln{x^3}$

Then change the variables

$\displaystyle x=ln{y^3}$

and after that you get y.

$\displaystyle e^x=y^3$

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

Hope i didn't mix this with something else. (Tmi) - Jan 15th 2008, 01:38 PMmr fantastic
- Jan 15th 2008, 01:54 PMPinsky
Right, typing error, tnx.

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

Still waiting for the results thou. (Worried)