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Math Help - How can I proove this?

  1. #1
    Junior Member krtica's Avatar
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    How can I prove:

    That there exists an x such that 3^x=x^2.

    (Thanks for responding to my obvious question)
    Last edited by krtica; September 22nd 2010 at 06:28 AM.
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  2. #2
    Super Member
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    Hint - Let f(x) = 3^x - x^2
    1. f(x) is continous
    2. what is f(-1) and f(0)

    Cna you take it from here?
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  3. #3
    MHF Contributor

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    Lovely! krtica, aman_cc's point is that you are NOT asked to find such an x, just prove that it exists.
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  4. #4
    A Plied Mathematician
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    It is against the rules to remove the OP. See Rule # 7. If you don't restore the original question, a mod will do that for you and you'll get an infraction.

    You've been warned.
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