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2005 AIME II Problems/Problem 5

Revision as of 22:20, 8 July 2006 by Joml88 (talk | contribs) (→‎Problem)

Problem

Determine the number of ordered pairs $(a,b)$ of integers such that $\log_a b + 6\log_b a=5, 2 \leq a \leq 2005,$ and $2 \leq b \leq 2005.$

Solution

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