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Math Help - Simplify

  1. #1
    Junior Member turbod15b's Avatar
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    Simplify

    how do i simply this eqaution?



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  2. #2
    MHF Contributor
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    Quote Originally Posted by turbod15b View Post
    how do i simply this eqaution?




    You need to use the formula

    \log{x}-\log{y} = \log{\frac{x}{y}}


    \log_{10}{B^3} - (\log_{10}{AB} - \log_{10}{\frac{A}{B}}) = \log_{10}{B^3} - \log_{10}{\frac{AB}{\frac{A}{B}}}

     = \log_{10}{B^3} - \log_{10}{B^2}

     = \log_{10}{\frac{B^3}{B^2}}

     = \log_{10}{B}.
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