Question 6
The solutions to the system of equations $$
\log_{225} x + \log_{64} y = 4
$$ $$
\log_x 225 - \log_y 64 = 1
$$ are $(x_1, y_1)$ and $(x_2, y_2).$ Find $\log_{30}\left(x_1 y_1 x_2 y_2\right).$
\log_{225} x + \log_{64} y = 4
$$ $$
\log_x 225 - \log_y 64 = 1
$$ are $(x_1, y_1)$ and $(x_2, y_2).$ Find $\log_{30}\left(x_1 y_1 x_2 y_2\right).$