1. ## 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.

2. Originally Posted by scrible
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?