Let a1,a2,a3,… be a G.P. with a1=a and common ratio r, where a and r – InterviewSolution

1.	Let a1,a2,a3,… be a G.P. with a1=a and common ratio r, where a and r positive integers, then the number of ordered pairs (a, r) such that 12∑k=1log8ak=2010 is
Answer» Let $a_{1}, a_{2}, a_{3}, \dots$ be a G.P. with $a_{1} = a$ and common ratio $r,$ where $a$ and $r$ positive integers, then the number of ordered pairs $(a, r)$ such that $12 \sum k = 1 {log}_{8} a_{k} = 2010$ is

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