Tasty Logarithm #3

Algebra Level 5

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

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

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