Home
Class 12
MATHS
If log(2)(a+b)+log(2)(c+d) ge4, then the...

If `log_(2)(a+b)+log_(2)(c+d) ge4`, then the minimum value of a+b+c+d is

A

`2`

B

`4`

C

`6`

D

`8`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (2) (true and false)|1 Videos
  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (2) (fill in the blanks)|14 Videos
  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (1) (Fill in the blanks)|9 Videos
  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos
  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (2) ASSERTION/REASON|3 Videos

Similar Questions

Explore conceptually related problems

If log_(2)(a+b)+log_(2)(c+d)>=4. Then find the minimum value of the expression a+b+c+d.

If log_(5)(x^(2)+x)-log_(5)(x+1)=2, then the value of x is a.5 b.10 c.25 d.32

If log_(2)x+log_(2)y>=6, then the least value of x+y is 4 (b) 8 (d) 16 (d) 32

Let a,b" and "c are distinct positive numbers,none of them is equal to unity such that log _(b)a .log_(c)a+log_(a)b*log_(c)b+log_(a)c*log_(b)c-log_(b)a sqrt(a)*log_(sqrt(c))b^(1/3)*log_(a)c^(3)=0, then the value of abc is -

Let a=(log_(27)8)/(log_(3)2),b=((1)/(2^(log_(2)5)))((1)/(5^(log_(5)(01)))) and c=(log_(4)27)/(log_(4)3) then the value of (a+b+c), is and c=(log_(4)27)/(log_(4)3)

If log_(2)7= a and log_(3)2=b ," then the value of log_(14)84 is : (A) (1+3b+2ab)/(ab-b) (B) (1+2b+ab)/(b+ab) (C) (1+a+b)/(a+b) (D) (1+b+ab)/(a+ab)

If a=b^(2)=c^(3)=d^(4) then the value of log_(4)(abcd) is

If a=b^(2)=c^(3)=d^(4) then the value of log_(a)(abcd) is

If log_(a)b=2, log_(b)c=2, and log_(3) c= 3 + log_(3) a,then the value of c/(ab)is ________.

ML KHANNA-LOGARITHMS AND SURDS-Problem Set (2) (Multiple choice questions)
  1. If 2log(16)(x^(2)+x)-log(4)(x+1)=2, then x=

    Text Solution

    |

  2. If 2 log (x + 1) - log ((x^2) -1) = log 2. Then x equals to :

    Text Solution

    |

  3. If log(2)(a+b)+log(2)(c+d) ge4, then the minimum value of a+b+c+d is

    Text Solution

    |

  4. If log(x)(3x^(2)+10x)=3 , then x=

    Text Solution

    |

  5. The solution set of the equation log(1//5)(2x+5)+log(5)(16-x^(2))le1 i...

    Text Solution

    |

  6. The number of solutions of the equation 125^(x)+45^(x)=2.27^(x) is

    Text Solution

    |

  7. The number of solutions of (log5+log(x^(2)+1))/(log(x-2))=2 is

    Text Solution

    |

  8. The value of ' x ' satisfying the equation, 4^((log)9 3)+9^((log)2 4)=...

    Text Solution

    |

  9. If 5^(1+log(4)x)+5^(-log4x-1)=(26)/(5), then x=

    Text Solution

    |

  10. The solution set of the equation x^(log(x)(1-x)^(2))=9 is

    Text Solution

    |

  11. If 7^(log(7)(x^(2)-4x+5))=(x-1), then x may have values

    Text Solution

    |

  12. Sum of the roots of the equation 9^(log(3)(log(2)x))=log(2)x-(log(2)x)...

    Text Solution

    |

  13. The equation 5^(1+log(5)cosx)=2*5 has

    Text Solution

    |

  14. If x^(log(3)x^(2)+(log(3)x)^(2)-10)=1//x^(2), then x=

    Text Solution

    |

  15. If x^([(log(2)x)^(2)-6log(2)x+11])=64, then x=

    Text Solution

    |

  16. If log(3)2,log(3)(2^(x)-5) and log(3)(2^(x)-7//2) are in arithmetic pr...

    Text Solution

    |

  17. The equation x^((3//4)(log(2)x)^(2)+log(2)x-5//4)=sqrt(2) has

    Text Solution

    |

  18. The value of x satisfying the equation |x-1|^(log(3)x^(2)-2log(x)9)=(x...

    Text Solution

    |

  19. (6)/(5)a^(log(a)xlog(10)alog(a)5)-3^(log(10)(x//10))=9^(log(100)x+log(...

    Text Solution

    |

  20. The equation x^([(log(3)x)^(2)-(9//2)log(3)x+5])=3sqrt(3) has

    Text Solution

    |