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The inverse of the exponential function

  1. Sep 3, 2008 #1
    The inverse of the exponential function....

    1. The problem statement, all variables and given/known data

    Find the inverse of the function = e ^ (x^3)

    2. Relevant equations

    The inverse of the exponential function = the natural logarithm of that same function

    3. The attempt at a solution

    inverse of f(x) = ln(x^3) ?

    This doesn't seem right.
     
  2. jcsd
  3. Sep 3, 2008 #2

    Defennder

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    Homework Helper

    Re: The inverse of the exponential function....

    Nope. Let y=e^(x^3). Take Ln of both sides and express x in terms of y. Then replace y with x and you're done.
     
  4. Sep 3, 2008 #3
    Re: The inverse of the exponential function....

    Alright, so is the answer

    inverse of the function = (ln x)^1/3 ?
     
  5. Sep 3, 2008 #4

    Defennder

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    Homework Helper

    Re: The inverse of the exponential function....

    Yeah.
     
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