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If x&y are positive number such that log 2 x+log 2 y≥6 then find the least value of x+y.

If x&y are positive number such that log2x+log2y≥6 then find the least value of x+y.


 

Grade:12

3 Answers

Pratik Tibrewal
askIITians Faculty 37 Points
8 years ago
log2(xy) >= 6
=> xy >= 2^6

x + y >= 2*(xy)^(1/2) >= 2*(2^3) = 16

Thanks and Regards,
Pratik Tibrewal
askiitans faculty,
BTech, IITG
Krrish .
16 Points
8 years ago
5
Krrish .
16 Points
8 years ago
1000

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