anonymous
  • anonymous
How can I find the inverse function of f(x) = e^x^3 ??
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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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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