# 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 $$\log_{30}\left(x_1y_1x_2y_2\right)$$.

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