2002 AIME I Problems/Problem 6

Problem

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

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2002 AIME I (Problems • Answer Key • Resources)
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