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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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If log⁡3x−y=log⁡5y−z=log⁡7z−x,\frac{{\log 3}}{{x - y}} = \frac{{\log 5}}{{y - z}} = \frac{{\log 7}}{{z - x}}, then 3x+y  5y+z  7z+x={3^{x + y}}\;{5^{y + z}}\;{7^{z + x}} =
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Correct option: C
1
Option C is correct because by setting each ratio equal to a constant and using logarithmic properties, the expression simplifies to 1.

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