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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
If log⁡2(a+b)+log⁡2(c+d)≥4\log _2(a+b)+\log _2(c+d) \geq 4. Then the minimum value of the expression a+b+c+da+b+c+d is
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Correct option: C
8
Option C, 8, is the correct minimum value because applying AM-GM inequality to (a+b)(a+b) and (c+d)(c+d) with the given logarithmic condition yields a+b+c+d≥8a+b+c+d \geq 8.

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