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Thread: Help expanding log?

  1. February 13th 2009, 05:15 PM #1
    tuckergrl
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    Help expanding log?

    I have been working on this problem all day...can anyone help me?

    Problem:

    ln(2x+3/X^2-3x+2)^2

    I got 2ln(2)+2ln(x)+2ln(3)-4ln(x)-2ln(-3x)-2ln(2)....

    Can anyone help?
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  2. February 13th 2009, 05:31 PM #2
    skeeter
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    Quote Originally Posted by tuckergrl View Post
    I have been working on this problem all day...can anyone help me?

    Problem:

    ln(2x+3/X^2-3x+2)^2

    I got 2ln(2)+2ln(x)+2ln(3)-4ln(x)-2ln(-3x)-2ln(2)....

    Can anyone help?
    \ln\left(\frac{2x+3}{x^2-3x+2}\right)^2

    2\ln\left(\frac{2x+3}{x^2-3x+2}\right)

    2\ln\left(\frac{2x+3}{(x-2)(x-1)}\right)

    2[\ln(2x+3) - \ln(x-2) - \ln(x-1)]
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