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Math Help - Exponential Equation

  1. #1
    Member
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    Exponential Equation

    Hi,

    I'm not sure how to solve this one, I tired getting into quadratic form, but I ended up getting a cubic. :S

    4^x + 12(2)^(-x) = 7
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  2. #2
    MHF Contributor
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    Re:

    Quote Originally Posted by millerst View Post
    Hi,

    I'm not sure how to solve this one, I tired getting into quadratic form, but I ended up getting a cubic. :S

    4^x+12(2)^{-x}=7
    2^{2x}+12(2)^{-x}=7

    Then multiply both sides by 2^x

    2^{3x}-7(2^x)+12=0
    Let 2^x be a
    a^3-7a+12=0
    Then solve the equation ..
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