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Math Help - Touch (in my opinion) logarithm simplification question

  1. #1
    s3a
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    Touch (in my opinion) logarithm simplification question

    I keep getting 10/7 as an aswer but that isn't even one of the multiple choice!
    Any help would be greatly appreciated!
    Thanks in advance!
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by s3a View Post
    I keep getting 10/7 as an aswer but that isn't even one of the multiple choice!
    Any help would be greatly appreciated!
    Thanks in advance!
    You will need these log properties

    \log(xy)=\log(x)+\log(y) and

    \log\left( \frac{x}{y}\right)=\log(x)-\log(y)

    \log(x^c)=c\log(x)

    \log_{a}(a)=1

    So you have

    \log_{a}\left(\frac{x^2 a}{y} \right)=\log_{a}(x^2a)-\log_{a}(y)=

    \log_{a}(x^2)+\log_{a}(a)-\log_{a}(y) = 2\log_{a}(x)+\log_{a}(a)-\log_{a}(y)

    I hope this helps
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