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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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If 3≤a≤2015,3≤b≤20153 \leq a \leq 2015,3 \leq b \leq 2015 such that log⁡ab+6log⁡ba=5\log _a b+6 \log _b a=5, the number of ordered pairs (a,b)(a, b) of integers is
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Correct option: C
5252
Option C (52) is correct because solving the logarithmic equation leads to two possible relationships between a and b, resulting in 52 ordered pairs.

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