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Log Base 6 Sum Equals 6

2050SpecialistAlgebra

AIME II · 2002 · Problem 3

It is given that $\log_{6}a + \log_{6}b + \log_{6}c = 6$, where $a$, $b$, and $c$ are [[positive]] [[integer]]s that form an increasing [[geometric sequence]] and $b - a$ is the [[Perfect square|square]] of an integer. Find $a + b + c$.
0 students attempted0% solvedRating 2050

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