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Math Help - Write as a single logarithm...

  1. #1
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    Write as a single logarithm...

    Its got me stumped...

    3logx - log(x-1) + log(x+1)
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  2. #2
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    Quote Originally Posted by Hosed View Post
    Its got me stumped...

    3logx - log(x-1) + log(x+1)
    hey mate,

    there are three log laws that need to be employed in order to simplify your expression,

    (1) nlogA = logA^n
    (2) log(A) + log(B) = log(AB)
    (3) log(A) - log(B) = log(A/B)

    3logx - log(x-1) + log(x+1) = logx^3 - log(x-1) + log(x + 1)
    = log(x^3/(x-1)) + log(x+1)
    = log((x^3/(x-1))*(x+1))
    or
    = log(x^3(x+1)/(x-1))

    Hope this helps,

    Regards,

    David
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  3. #3
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    Talking good


    that was helpful david
    Last edited by mr fantastic; December 27th 2008 at 05:43 AM. Reason: Deleted excessive use of smilies
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