anonymous
  • anonymous
How can I find the inverse function of f(x) = e^x^3 ??
Mathematics
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anonymous
  • anonymous
How can I find the inverse function of f(x) = e^x^3 ??
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • 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.
anonymous
  • anonymous
x=e^y^3
campbell_st
  • campbell_st
so that's a good start \[x = e^{y^3}\] any thoughts on the next step..?

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campbell_st
  • campbell_st
hint... it involves logs...
anonymous
  • anonymous
Right, so do we have to take log on both sides?
campbell_st
  • 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..?
anonymous
  • 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 >.<
campbell_st
  • campbell_st
glad to help...
anonymous
  • anonymous
Thanks :)

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