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Math Help - How to solve 2^X = X^2

  1. #1
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    How to solve 2^X = X^2

    f(x) = x^2
    g(x) = 2^X

    Find regions where f(x) > g(x)
    Is it possible to solve this algebraically or only guess and check?
    by guess and check I mean subbing different values for x
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  2. #2
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    Quote Originally Posted by supersaiyan View Post
    f(x) = x^2
    g(x) = 2^X

    Find regions where f(x) > g(x)
    Is it possible to solve this algebraically or only guess and check?
    by guess and check I mean subbing different values for x
    x = 2 and x = 4 are obvious solutions to f(x) = g(x).

    To solve f(x) = g(x) algebraically would require using the Lambert W-function.
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