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2002 AIME I Problems/Problem 6

Revision as of 16:31, 25 September 2007 by 1=2 (talk | contribs) (→‎Problem)

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

Solution

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See also

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