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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If log⁡(x+y)=log⁡2+12log⁡x+12log⁡y,  then\log \left( {x + y} \right) = \log 2 + \frac{1}{2}\log x + \frac{1}{2}\log y,\;\mathrm{then}
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Correct option: B
x−y=0x - y = 0
Option B (x−y=0x - y = 0) is correct because it is the simplified form of the given logarithmic equation, indicating that x and y are equal.

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