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Math Help - Solving an Equation

  1. #1
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    Solving an Equation

    7^{2x}=3*2^{x+2}

    I know you have to use logs but i cant get the x's on one side after i do that.
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  2. #2
    MHF Contributor red_dog's Avatar
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    (7^2)^x=3\cdot 2^x\cdot 2^2

    49^x=12\cdot 2^x

    \left(\frac{49}{2}\right)^x=12

    Apply log in both members

    \log\left(\frac{49}{2}\right)^x=\log 12

    x=\frac{\log 12}{\log\frac{49}{2}}=\frac{2\log 2+\log 3}{2\log 7-\log 2}
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