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anonymous

  • one year ago

How can I find the inverse function of f(x) = e^x^3 ??

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  1. anonymous
    • one year ago
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    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
    • one year ago
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    x=e^y^3

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

  4. campbell_st
    • one year ago
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    hint... it involves logs...

  5. anonymous
    • one year ago
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    Right, so do we have to take log on both sides?

  6. campbell_st
    • one year ago
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    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
    • one year ago
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    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
    • one year ago
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    glad to help...

  9. anonymous
    • one year ago
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    Thanks :)

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