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Homework Help: Find x.y=2/xy=e^(x-4)

  1. Feb 22, 2010 #1
    find x.

    y=2/x
    y=e^(x-4)
     
  2. jcsd
  3. Feb 22, 2010 #2

    HallsofIvy

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    Science Advisor

    Re: exponentials

    2/x= e^(x-4)= e^x e^(-4)

    2= x e^x e^(-4)

    xe^x= 2e^4

    x= W(2e^4) where W is Lambert's W function:
    http://en.wikipedia.org/wiki/Lambert_W_function

    which is defined as the inverse function to xe^x.
     
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