JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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a^{\log _b c}=3 \cdot 3^{\log _4 3} \cdot 3^{\log _4 3^{\log _4 3}} \cdot 3^{\log _4 3^{\log _4 3^{\log _4 3}}} ...\infty,

where

a, b, c \in Q,

the value of

a b c

View answer and explanation

Correct option: C

Option C (16) is correct because by simplifying the infinite series in the exponent and comparing the bases, we find a=3, b=4/3, and c=4, so abc=16.

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