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Math Help - True or False?

  1. #1
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    True or False?

    Hi all,

    In this true or false?

    (5/2)ln(1-2x)-2ln(x) = -2ln(x)+(5/2)ln(2x-1)
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  2. #2
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    Re: True or False?

    a-b=-b+a, it's true, haha.
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  3. #3
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    Re: True or False?

    Quote Originally Posted by Googl View Post
    Hi all,

    In this true or false?

    (5/2)ln(1-2x)-2ln(x) = -2ln(x)+(5/2)ln(2x-1)
    Dear Googl,

    The equation is false. Substitute x=1.

    \mbox{R.H.S}=0

    \mbox{L.H.S}=\frac{5i \pi}{2}
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  4. #4
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    Re: True or False?

    Oh, I misread it, I thought it was 1-2x on both sides.
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  5. #5
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    Re: True or False?

    One of them is the correct result of an integration using partial fractions. For some reason (I don't know) some of the results are in this form -2ln(x)+(5/2)ln(2x-1) however the first one: (5/2)ln(1-2x)-2ln(x), note there is a pattern (2x-1) instead of (1-2x).

    This was for the integration of:

    (x+2)/(2x^2-x)

    Is there something I need to understand here?
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  6. #6
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    Re: True or False?

    Remember to put absolute value to the logarithm.
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