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Math Help - help with logarithm question,please help

  1. #1
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    Oct 2009
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    help with logarithm question,please help

    given that log2 (3)=m and log2 (5)=n express log2 (0.15) in terms of m and n

    i'm sorry if your guys dont understand but i'll type it in words just to make sure

    log three base two is equals to m........log five base two is equal to n......


    sorry its hard to type the base of the log
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  2. #2
    Super Member
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    Jun 2009
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    Smile

    Hello
    \frac{\ln 3}{\ln 2}=m,\frac{\ln 5}{\ln 2}=n\Leftrightarrow \ln 2=\frac{\ln 5}{n}=\frac{\ln 3}{m}\Leftrightarrow \frac{1}{\ln 2}=\frac{m}{\ln 3}=\frac{n}{\ln 5}.
    \Leftrightarrow \frac{\ln 0.15}{\ln 2}=\frac{\ln 0.15\times m}{\ln 3}=\frac{\ln 0.15\times n}{\ln 5},therefore \log_{2}0.15=m\log_{3}0.15=n\log_{5}0.15.
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