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Math Help - Logs

  1. #1
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    Log10(x)=ylog10(3)+1
    express y in terms of x


    help?
    explaination needed though
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  2. #2
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    Quote Originally Posted by aimeemcdonald View Post
    Log10(x)=ylog10(3)+1
    express y in terms of x


    help?
    explaination needed though
    \log_{10}(x)=y \cdot \log_{10}(3) + 1

    \log_{10}(x)-1=y \cdot \log_{10}(3)

    \log_{10}\left(\dfrac x{10}\right)=y \cdot \log_{10}(3)

    \dfrac{\log_{10}\left(\dfrac x{10}\right)}{\log_{10}(3)}=y

    which can be simplified to:

    y = \log_3\left(\dfrac x{10} \right)
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