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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If a,b,ca, b, c are positive then the minimum value of alog⁡b−log⁡c+blog⁡c−log⁡a+clog⁡a−log⁡ba^{\log b-\log c}+b^{\log c-\log a}+c^{\log a-\log b} is
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Correct option: A
3
Option A (3) is correct because by applying AM >= GM inequality, the minimum value of the expression is 3.

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