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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If log⁡52,log⁡5(2x−3)\log _5 2, \log _5\left(2^x-3\right) and log⁡5(172+2x−1)\log _5\left(\frac{17}{2}+2^{x-1}\right) are in APA P, then the value of xx is
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Correct option: C
3
Option C (3) is correct because it is the solution obtained by setting up and solving the equation derived from the arithmetic progression property.

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