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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If 1,log⁡9(31−x+2)1, \log _9\left(3^{1-x}+2\right) and log⁡3(4.3x−1)\log _3\left(4.3^x-1\right) are in APA P, then xx is equal to
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Correct option: C
1−log⁡341-\log _3 4
Option C (1−log⁡341-\log _3 4) is correct because by using the properties of logarithms and solving the resulting quadratic equation, we find x=1−log⁡34x = 1 - \log_3 4.

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