Home
Class 14
MATHS
If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - lo...

If `log_(1/2) ((x^2+6x+9)/(2(x+1)) )< - log_2(x+1)` then complete set of values of x is

A

`(-1,-1,+2sqrt(2))`

B

`(1-2sqrt(2),2)`

C

`(-1,oo)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos

  • LOGARITHMS

    DISHA PUBLICATION|Exercise Practice Exercises (Standard Level)|43 Videos

  • LINEAR EQUATIONS

    DISHA PUBLICATION|Exercise TEST YOUSELF|15 Videos

  • MENSURATION

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

Similar Questions

Explore conceptually related problems

If log_(2) 6 + (1)/(2x ) =log_(2) (2^(1//x) + 8) , then the values of x are

log_(x+1)(x^(2)+x-6)^(2)=4

If (log_(2)(4x^(2)-x-1))/(log_(2)(x^(2)+1))>1, then x may be

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

log_(7)((2x-6)/(2x-1))>0

log_((1)/(2))(x^(2)-5x+6)>-1

log_(2)(x^(2)-1)=log_((1)/(2))(x-1)

Solve for x:(a) log_(0.3)(x^(2)+8) gt log_(0.3)(9x) , b) log_(7)( (2x-6)/(2x-1)) gt 0

If log_(x+1)(2x-1)+log_(2x-1)(x+1)=2, find x.

DISHA PUBLICATION-LOGARITHMS-Practice Exercises (Expert Level)
  1. If log (0.57) = 0. 756 then the value of log 57 + log (0.57)^(3) + log...

    Text Solution

    |

  2. If log(2)[log(7)(x^(2)-x+37)]=1, , then what could be the value of x ?

    Text Solution

    |

  3. If 1/3log(3)M+3log(3)N=1+log(0.008)5, then

    Text Solution

    |

  4. If log(3)2,log(3)(2^(x)-5),log(3)(2^(x)-7/2) are in arithmetic progre...

    Text Solution

    |

  5. If xgey and ygt1, then the value of the expression log(x)(x/y)+log(y)...

    Text Solution

    |

  6. If log(y)x=(a.log(z)y)=(b.log(x)z)=ab, then which of the following pai...

    Text Solution

    |

  7. What is the value of (log(sqrt(alphabeta))(H))/(log(alphabeta)(beta))

    Text Solution

    |

  8. 1/(log(2)a) + 1/(log(4)a) + 1/(log(8)a)+….. To n terms =(n(n+1))/k, th...

    Text Solution

    |

  9. If (x^(4) - 2x^(2)y^(2) + y^(4))^(a-1) =(x-y)^(2a) (x+y)^(-2), then th...

    Text Solution

    |

  10. If u = v^(2) = w^(2) =z^(4), then log(u)(uvwz), is equal to

    Text Solution

    |

  11. The first term and the last term of a GP are a and k respectively. If ...

    Text Solution

    |

  12. If y=a^(((1)/(1-log(a)x)))" and "z=a^(((1)/(1-log(a)y))), then x is eq...

    Text Solution

    |

  13. Solve the following equation for x and y log(100)|x+y| = 1/2, log(10...

    Text Solution

    |

  14. The greatest possible value of n could be if 9^(n)lt10^(8), given tha...

    Text Solution

    |

  15. Find the solution set of x, for the given inequality log(m)ngt1, where...

    Text Solution

    |

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

    Text Solution

    |

  17. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

    Text Solution

    |

  18. What is the value of x in the following expansion ? 1-log(10)5=1/3(...

    Text Solution

    |

  19. If log(0.04)(x-1)gelog(0.2)(x-1) then x belongs to the interval

    Text Solution

    |

  20. If log(10)3=x and log(30)5=y, then log(30)8 is equal to

    Text Solution

    |