Home
Class 12
MATHS
Find the solution of the inequality 2log...

Find the solution of the inequality `2log_(1/4)(x+5)>9/4log_(1/(3sqrt(3)))(9)+log_(sqrt(x+5))(2)`

Text Solution

Verified by Experts

The correct Answer is:
`(-5,-4)uu(-3,-1)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

Find the solution of the inequality 2log_((1)/(4))(x+5)>(9)/(4)log_((1)/(3sqrt(3)))(9)+log_(sqrt(x+5))(2)

The solution set of the inequation (1)/(log_(2)x) lt (1)/(log_(2)sqrt(x+2)) , is

The positive integral solution of the equation log_(x)sqrt(5)+log_(x)5x=(9)/(4)+log_(x)^(2)sqrt(5) is:

The number of solutions of the equation (1)/(2) log_(sqrt(3)) ((x + 1)/(x + 5)) + log_(9) (x + 5)^(2) = 1 is

Find the sum of the squares of all the real solution of the equation 2log_((2+sqrt(3)))(sqrt(x^(2)+1)+x)+log_((2-sqrt(3)))(sqrt(x^(2)+1)-x)=3

2log_(2)(log_(2)x)+log_((1)/(5))(log_(2)2sqrt(2x))=1

Find the sum of all solutions of the equation 3^((log_(9)x)^(2)-(9)/(2)log_(9)x+5)=3sqrt(3)

Number of integers satisfying the inequality log_((x + 3)//(x - 3))4 lt 2 [log_(1//2)(x - 3)-log_(sqrt(2)//2)sqrt(x + 3)] is greater than (A) 6 (B) 5 (C) 4 (D) 3

Find the sum of all integers satisfying the inequalities log_(5)(x-3)+1/2log_(5)3lt1/2log_(5)(2x^(2)-6x+7) and log_(3)x+log_(sqrt3)x+log_(1/3)xlt6

Find the number of integers satisfying the inequality 1sqrt(log_((1)/(2))^(2)x+4log_(2)sqrt(x))

RESONANCE-DPP-QUESTION
  1. Tho solution of the equation 7^(logx)-5^(logx+1)=3.5^(log-x1)-13.7 ^(l...

    Text Solution

    |

  2. Solve ((1)/(2))^(logx^(2))+2gt3.2^(log(-x))

    Text Solution

    |

  3. Find the solution of the inequality 2log(1/4)(x+5)>9/4log(1/(3sqrt(3))...

    Text Solution

    |

  4. If a and b are positive integers such that a^(2)-b^(4)=2009, then a+b^...

    Text Solution

    |

  5. Find number of integral solutionlog(x+3)(x^(2)-x)lt1

    Text Solution

    |

  6. Suppose xy-5x+2y=30, where x and y are positive integers. Find the num...

    Text Solution

    |

  7. Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x...

    Text Solution

    |

  8. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

    Text Solution

    |

  9. If sum(r=0)^(n-1)log(2)((r+2)/(r+1)) prod(r=10)^(99)log(r) (r+1), then...

    Text Solution

    |

  10. Solve for x: log(2)x le 2/(log(2)x-1)

    Text Solution

    |

  11. Solve the in equality log(1/4) (2-x)>log(1/4) (2/(x+1)).

    Text Solution

    |

  12. Given that log(a^(2))(a^(2)+1)=16 find the value of log(a^(32))"("a+1/...

    Text Solution

    |

  13. If (3log(10)x+19)/(3log(10)x-1)=2 log(10)x+1, find solution of equatio...

    Text Solution

    |

  14. Prove that there exist no natural numbers, m and n such that m^(2)=n^(...

    Text Solution

    |

  15. Solve (i)" "(x-1)/(x)-(x+1)/(x-1)lt2" "(ii)" "(x^(2)+4x+4)/(2x^(2)-x-...

    Text Solution

    |

  16. If (u)/(alpha)=(v)/(beta)=then (u)/(alpha)=(v)/(beta)=((au^(n)+bv^(n))...

    Text Solution

    |

  17. If ratio of the work done by n men in (n+2) days is to the work done b...

    Text Solution

    |

  18. Number of non-negative integral values of 'k' for which roots of the e...

    Text Solution

    |

  19. Let y=1/(2+1/(3+(1/(2+1/3+....))) The value of y is :

    Text Solution

    |

  20. If x-=2+2^(2//3)+2^(1//3)" then the value "(x^(3)-6x^(2)+6x) is

    Text Solution

    |