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Math Help - Looking for Solution Feedback

  1. #1
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    Looking for Solution Feedback

    Could someone please review this problem that I have attempted to simplify. I'm not sure but I believe that I have completed everything correctly.

    log_{5}\frac{5^{-2x} (25)^y}{\sqrt{125^x}}

    \Rightarrow\log_{5}5^{-2x}+\log_{5}25^{y}-\log_{5}\sqrt{125^{x}}

    \Rightarrow\text{-}2x\log_{5}5+2y\log_{5}5-\frac{3x}{2}\log_{5}5

    \Rightarrow\text{-}2x+2y-\frac{3x}{2}

    \Rightarrow\frac{-7x}{2}+2y

    Any feedback is appreciated.
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  2. #2
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    Quote Originally Posted by headless chickens View Post
    Could someone please review this problem that I have attempted to simplify. I'm not sure but I believe that I have completed everything correctly.

    log_{5}\frac{5^{-2x} (25)^y}{\sqrt{125^x}}

    \Rightarrow\log_{5}5^{-2x}+\log_{5}25^{y}-\log_{5}\sqrt{125^{x}}

    \Rightarrow\text{-}2x\log_{5}5+2y\log_{5}5-\frac{3x}{2}\log_{5}5

    \Rightarrow\text{-}2x+2y-\frac{3x}{2}

    \Rightarrow\frac{-7x}{2}+2y

    Any feedback is appreciated.
    looks fine to me.
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  3. #3
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    Quote Originally Posted by skeeter View Post
    looks fine to me.
    Thanks again for your time .... always nice to have someone else check your work once in a while.
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