Home
Class 11
MATHS
The solution set of the inequality (log)...

The solution set of the inequality `(log)_(10)(x^2-16)lt=(log)_(10)(4x-11)` is `4,oo)` (b) `(4,5)` (c) `((11)/4,oo)` (d) `((11)/4,5)`

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos
  • PERMUTATIONS AND COMBINATIONS

    CENGAGE PUBLICATION|Exercise All Questions|430 Videos

Similar Questions

Explore conceptually related problems

The solution set of the inequality log_10 (x^2-16)le log_10 (4x-11) is

Solution set of the inequality (log)_(0. 8)((log)_6(x^2+x)/(x+4))<0 is

The solution set of the inequation |(1)/(x)-2| lt 4 , is

If log_(e)(x^(2)-16)lelog_(e)(4x-11) ,then-

Solution set of the inequation 10 le -5 (x-2) lt 20 is-

Solution set of the inequality 1/(2^x-1)>1/(1-2^(x-1)) is 1,oo) (b) 0,(log)_2(4/3) (c) (-1,oo) (0,(log)_2(4/3)uu(1,oo)

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

Solution of the inequations -11 le 4x -3 lt 13 is-

The number of solutions of log_(4)(x-1)= log_(2) (x-3) .

The real solutions of the equation 2^(x+2). 5^(6-x)=10^(x^2) is/are 1 (b) 2 (c) -(log)_(10)(250) (d) (log)_(10)4-3

CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. Equation (log)4(3-x)+(log)(0. 25)(3+x)=(log)4(1-x)+(log)(0. 25)(2x+1)h...

    Text Solution

    |

  2. Solution set of the inequality 1/(2^x-1)>1/(1-2^(x-1)) is 1,oo) (b) 0...

    Text Solution

    |

  3. The solution set of the inequality (log)(10)(x^2-16)lt=(log)(10)(4x-11...

    Text Solution

    |

  4. Which of the following is a solution of (logx)(5/2-1/x) gt (5/2-1/x) ?

    Text Solution

    |

  5. Solve x^[[3/4(log2 x)^2+log2 x-5/4]] = sqrt2

    Text Solution

    |

  6. Solve the following equation of x :2(log)x a+(log)(a x)a+3(log)(a^2x)a...

    Text Solution

    |

  7. Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .

    Text Solution

    |

  8. If P is the number of natural numbers whose logarithms to the base 10 ...

    Text Solution

    |

  9. Find the compound interest on Rs. 12000 for 10 years at the rate of 12...

    Text Solution

    |

  10. If x=(log)(2a)a , y=(log)(3a)2a ,z=(log)(4a)3a ,p rov et h a t1+x y z=...

    Text Solution

    |

  11. Let L denote antilog32 0.6 and M denote the number of positive integer...

    Text Solution

    |

  12. Let x=(0. 15)^(20)dot Find the characteristic and mantissa of the loga...

    Text Solution

    |

  13. Using logarithms, find the value of 6.45 x 981.4

    Text Solution

    |

  14. In the 2001 census, the population of India was found to be 8. 7x10^7d...

    Text Solution

    |

  15. If (log)(10)2=0. 30103 ,(log)(10)3=0. 47712 , then find the number of...

    Text Solution

    |

  16. If a=(log)(12)18 , b=(log)(24)54 , then find the value of a b+5(a-b)do...

    Text Solution

    |

  17. Solve the equations for x and y:(3x)^(log3)=(4y)^(log 4), 4 ^(log x) ...

    Text Solution

    |

  18. The real solutions of the equation 2^(x+2). 5^(6-x)=10^(x^2) is/are 1 ...

    Text Solution

    |

  19. If (log)k xdot(log)5k=(log)x5,k!=1,k >0, then x is equal to

    Text Solution

    |

  20. If p,q in N" satisfy the equation "x^(sqrtx) = (sqrtx)^(x), then

    Text Solution

    |