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Algebraic of a variable to itself

  1. Mar 14, 2007 #1
    I have been trying to solve algebraicly an equation of the following form for x with little success because x appears in the base and the exponent. Any help would be greatly appreciated.


    A log approach only yields x*log(x/c)=log (a/b) which really doesn't get me anywhere.
  2. jcsd
  3. Mar 14, 2007 #2
    Well, you won't go very far! This is impossible to solve algebraically.
  4. Mar 14, 2007 #3


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    Staff Emeritus
    Science Advisor

    Should be able to use the Lambert W function- it is defined as the inverse to the function xex.
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