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 If log2(a+b)+log2(c+d)4, where a,b,c are positive numbers. Then the  minimum value of expression a+b+c+d is 

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a
2
b
4
c
8
d
16

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detailed solution

Correct option is C

(a+b)(c+d)≥16  ∵AM≥GM, we have  (a+b)+(c+d)2≥(a+b)(c+d)≥4  ⇒a+b+c+d≥8


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