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Math Help - Quick!! Exponential/Logarithm Equation!!!

  1. #1
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    Quick!! Exponential/Logarithm Equation!!!

    Okay... Here's the question...

    5^(x-2)=2^(3x+4)

    Solve for x

    Show steps plz

    Thx in advance; i'm in a hurry!!!
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  2. #2
    Behold, the power of SARDINES!
    TheEmptySet's Avatar
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    5^{x-2}=2^{3x+4}
    ln(5^{x-2})=ln(2^{3x+4})
    (x-2)ln5=(3x+4)ln2
     xln5-2ln5=3xln2+4ln2
    xln5-3xln2=4ln2+2ln5
    x(ln5-3ln2)=4ln2+2ln5

     x=\frac{4ln2+2ln5}{ln5-3ln2}
    Last edited by TheEmptySet; February 21st 2008 at 10:30 PM. Reason: still learning the math type
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  3. #3
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    Thanks!!!
    I never would've thought to do it THAT way...
    Oh well... Thanks again!
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