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Math Help - Writing as a single logarithm?

  1. #1
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    Writing as a single logarithm?

    Write ln(x-4)-5 ln(2x+7) - 1/2 ln(3x+1) + 6 ln(x) as a single logarithm
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  2. #2
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    Start by rewriting any term with a coefficient as a term with a power inside the logarithm (using the rule p\log{a} = \log{(a^p)}).

    You should then be able to simplify the rest using the sum/difference rules \log{a} + \log{b} = \log{(ab)} and \displaystyle \log{a} - \log{b} = \log{\left(\frac{a}{b}\right)}.
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  3. #3
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    Quote Originally Posted by Prove It View Post
    Start by rewriting any term with a coefficient as a term with a power inside the logarithm (using the rule p\log{a} = \log{(a^p)}).

    You should then be able to simplify the rest using the sum/difference rules \log{a} + \log{b} = \log{(ab)} and \displaystyle \log{a} - \log{b} = \log{\left(\frac{a}{b}\right)}.
    thank you so much!!
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