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Math Help - logarithms

  1. #1
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    logarithms

    Need to solve the following for x

    e^(3x-4) = e^(1-2x) Do i figure out the logs first or do i combine the x terms?


    ln(x) = 2ln(2)+ln(15)-ln(10) (for x>0)



    ln(3x-2) = 3 (x>2/3)

    thanks for your help
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  2. #2
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    Quote Originally Posted by tim_mannire View Post
    Need to solve the following for x

    e^(3x-4) = e^(1-2x) Do i figure out the logs first or do i combine the x terms?
    Hi tim_mannire,

    Just take the natural log of both sides.

    e^{3x-4}=e^{1-2x}


    \ln e^{3x-4}=\ln e^{1-2x}

    3x-4=1-2x

    Quote Originally Posted by tim_mannire View Post
    ln(x) = 2ln(2)+ln(15)-ln(10) (for x>0)
    x=e^{2\ln2+\ln15-\ln10}


    Quote Originally Posted by tim_mannire View Post
    ln(3x-2) = 3 (x>2/3)

    thanks for your help
    e^3=3x-2
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