AIME 2005 II #5 — log_a(b)+6log_b(a)=5 Ordered Pairs Count

2050SpecialistAlgebraCounting PrinciplesLogarithmic Equations

AIME II · 2005 · Problem 5

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. $

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2050SpecialistAlgebraCounting PrinciplesLogarithmic Equations

AIME II · 2005 · Problem 5

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. $

0 students attempted0% solvedRating 2050