# Tasty Logarithm #3

**Algebra**Level 4

\[\begin{eqnarray} \large\log_{225}x+\log_{64}y&=&\large4 \\ \large\log_{x}225-\log_{y}64&=&\large1 \end{eqnarray} \]

The solutions to the system of equations above are \((x_1,y_1)\) and \((x_2,y_2)\) . Find \(\log_{30}\left(x_1y_1x_2y_2\right)\).