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Math Help - log problem

  1. #1
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    Post log problem

    Can someone help me to solve this problem? I am just not getting it.
    \log_{9}xy=\frac{5}{2}

    \log_{3}x \log_{3}y = -6

    one simultaneous equation.
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  2. #2
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    Quote Originally Posted by scrible View Post
    Can someone help me to solve this problem? I am just not getting it.
    \log_{9}xy=\frac{5}{2}

    \log_{3}x \log_{3}y = -6

    one simultaneous equation.
    \log_9(xy) = \frac{5}{2}

    \log_9{x} + \log_9{y} = \frac{5}{2}

    \frac{\log_3{x}}{\log_3{9}} + \frac{\log_3{y}}{\log_3{9}} = \frac{5}{2}

    \frac{\log_3{x}}{2} + \frac{\log_3{y}}{2} = \frac{5}{2}

    \log_3{x} + \log_3{y} = 5

    and your other equation is \log_{3}x \cdot \log_{3}y = -6

    can you finish?
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