olymmath

AIME 2005b Problem 5

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Determine the number of ordered pairs (a,b)(a,b) of integers such that log⁡ab+6log⁡ba=5,2≤a≤2005,\log_a b + 6\log_b a=5, 2 \leq a \leq 2005, and 2≤b≤2005.2 \leq b \leq 2005.

Dataset text AIME 1983 to 2026. Quoted with source.

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