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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If x,yx, y and zz are in HP, where z>y>xz>y>x. Then, value of log⁡(x+z)+log⁡(x−2y+z)\log (x+z)+\log (x-2 y+z) is
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Correct option: B
2log⁡(z−x)2 \log (z-x)
Option B (2log⁡(z−x)2 \log (z-x)) is correct because using the properties of Harmonic Progression, we can simplify the expression to obtain the result.

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