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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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If log⁡327⋅log⁡x7=log⁡27x⋅log⁡73\log _3 27 \cdot \log _x 7=\log _{27} x \cdot \log _7 3, the least value of xx, is
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Correct option: A
7−37^{-3}
Option A (7−37^{-3}) is correct because solving the logarithmic equation leads to two possible values for x, and 7−37^{-3} is the least value.

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