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If (log)2(a+b)+(log)2(c+d)geq4. Then fin...

If `(log)_2(a+b)+(log)_2(c+d)geq4.` Then find the minimum value of the expression `a+b+c+d`

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. If a ,b ,c are positive, then prove that a//(b+c)+b//(c+a)+c//(a+b)geq...

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  2. If (log)(10)(x^3+y^3)-(log)(10)(x^2+y^2-x y)lt=2, and x ,y are positiv...

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  3. If (log)2(a+b)+(log)2(c+d)geq4. Then find the minimum value of the exp...

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  4. If a+b+c=1, then prove that 8/(27a b c)>{1/a-1}{1/b-1}{1/c-1}> 8.

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  5. If a ,b , a n dc are distinct positive real numbers such that a+b+c=1,...

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  6. Prove that b^2c^2+c^2a^2+a^2b^2> a b cxx(a+b+c)(a ,b ,c >0) .

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  7. Find the minimum value of 4sin^(2)x+4cos^(2)x .

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  8. Prove that (a b+x y)(a x+b y)>4a b x y(a , b ,x ,y >0)dot

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  9. The minimum value of the sum of real number a^-5,a^-4,3a^-3,1,a^8 and ...

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  10. If a1,a2,------ ,an are positive real numbers whose product is a fixe...

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  11. If a ,b ,c ,d are positive real umbers such that a+b+c+d=2,then M=(a+...

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  12. A straight line through the vertex P of a triangle P Q R intersects th...

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  13. If alpha in (0,pi/2), then sqrt(x^2+x)+tan^2alpha/sqrt(x^2+x) is alw...

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  14. In A B C , prove that cos e c A/2+cos e c B/2+cos e c C/2geq6.

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  15. In Delta A B C , prove that t a n A+t a n B+t a n Cgeq3sqrt(3),w h e...

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  16. If a ,b ,c are real numbers such that 0 < a < 1,0 < b < 1,0 < c < 1,a+...

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  17. If a^2+b^2+c^2=x^2+y^2+z^2=1, then show that a x+b y+c z leq1.

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  18. Prove that a^4+b^4+c^4> a b c(a+b+c),w h e r ea ,b ,c > 0.

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  19. Prove that the greatest value of x y is c^3/sqrt(2a b), if a^2x^4+b^2y...

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  20. If a > b and n is a positive integer, then prove that a^n-b^n > n(a b)...

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