Home
Class 11
MATHS
Solution set of the inequality 1/(2^x-1)...

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)`

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)lt=(log)_(10)(4x-11) is 4,oo) (b) (4,5) (c) ((11)/4,oo) (d) ((11)/4,5)

The solution set of inequality log_(1/2) sin^-1 x gt log_(1/2) cos^-1 x

The domain of the function f(x)=1/(sqrt(|x|-x)) is: (1) (-oo,oo) (2) (0,oo (3) (-oo,""0) (4) (-oo,oo)"-"{0}

The solution of the inequality (log)_(1//2) sin^(-1)x >(log)_(1//2)cos^(-1)x is (a) x in [0,(1)/(sqrt(2))] (b) x in [1/(sqrt(2)),1] (c) x in (0,(1)/(sqrt(2))) (d) none of these

Solve the following inequalities : log_(1//2)log_3((x+1)/(x-1))ge0

The true solution set of inequality (log)_((x+1))(x^2-4)>1 is equal to (a) (2, ∞) (b) (2, (1+sqrt(21))/2) (c) ((1-sqrt(21))/2,(1+sqrt(21))/2) (d) ( (1+sqrt(21))/2 , ∞)

The domain of the function f(x)=(sin^(-1)(3-x))/(I n(|x|-2)i s (a) [2,4] (b) (2,3)uu(3,4] (c) (0,1)uu(1,oo) (d) (-oo,-3)uu(2,oo)

The domain of the function f(x)=sqrt(log_((|x|-1))(x^2+4x+4)) is (a) (-3,-1)uu(1,2) (b) (-2,-1)uu(2,oo) (c) (-oo,-3)uu(-2,-1)uu(2,oo) (d)none of these

The set of all possible real values of a such that the inequality (x-(a-1))(x-(a^2-1))<0 holds for all x in (-1,3) is a. (0,1) b. (oo,-1] c. (-oo,-1) d. (1,oo)

The range of a for which the equation x^2+ax-4=0 has its smaller root in the interval (-1,2)i s a. (-oo,-3) b. (0,3) c. (0,oo) d. (-oo,-3)uu(0,oo)

CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. If S={x in N :2+(log)2sqrt(x+1)>1-(log)(1/2)sqrt(4-x^2)} , then S={1...

    Text Solution

    |

  2. Equation (log)4(3-x)+(log)(0. 25)(3+x)=(log)4(1-x)+(log)(0. 25)(2x+1)h...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |