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Quick problem; can't find other solution

  1. May 27, 2010 #1
    I'll make this quick guys:
    a = e^-t t^x
    This equation should have 2 solutions real between 0 and e^-x x^x
    I've found one solution to the equation:
    t = -x ProductLog[-(a^((1/x))/x)]
    But I can't find the other :(. Please can you give me a hand finding the other solution.
  2. jcsd
  3. May 28, 2010 #2


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    Homework Helper

    The "Product Log", or Lambert-W function, is multivalued, so you have to choose a branch. For real valued arguments there are two branches; I would suppose this is your what your second solution is.
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