## anonymous one year ago How can I find the inverse function of f(x) = e^x^3 ??

1. anonymous

I know that I have to switch places of 'x' and 'y' and then solve for 'y'. But I need help to solve for 'y' in this case.

2. anonymous

x=e^y^3

3. campbell_st

so that's a good start $x = e^{y^3}$ any thoughts on the next step..?

4. campbell_st

hint... it involves logs...

5. anonymous

Right, so do we have to take log on both sides?

6. campbell_st

correct... use natural logs and uses the log law $\ln(e^a) = a$ so $\ln(x) = y^3$ can you finish from here..?

7. anonymous

Ohhh got it!! Yeah I can take it from here :D Thank you soooo much! I always get confused when it comes to logs >.<

8. campbell_st