Home
Class 11
MATHS
If S={x in R :((log)(0. 6)0. 216)(log)5...

If `S={x in R :((log)_(0. 6)0. 216)(log)_5(5-2x)lt=0},` then `S` is equal to `(2. 5 ,oo)` (b) `(2, 2.5)` (c) `(2, 2.5)` (d) `(0, 2.5)`

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

x^((log)_5x)>5 implies x in (0,oo) (b) [2,2.5] (c) (2,2.5) (d) (0,2.5)

(log)_(0. 5)(3-x)/(x+2)<0

If (log)_k xdot(log)_5k=(log)_x5,k!=1,k >0, then x is equal to

If 1/(log_(x)10) = 2/(log_(0.5)10) , then find the value of x.

If (log)_4 5=aa n d(log)_5 6=b , then (log)_3 2 is equal to 1/(2a+1) (b) 1/(2b+1) (c) 2a b+1 (d) 1/(2a b-1)

Solve : (1)/(log_(x)10)+2=(2)/(log_(0.5)(10))

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)

If log_(0.2) (x-1) gt log_(0.04) (x+5) then

If log_(0.2)(x-1)gt log_(0.04)(x+5) , then-

int (dx)/(x[(log x)^(2)- 6 log x+5])

CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. x^((log)5x)>5 implies x in (0,oo) (b) [2,2.5] (c) (2,2.5) (d) (0,2...

    Text Solution

    |

  2. The number of real values of the parameter k for which (log(16)x)^2-(l...

    Text Solution

    |

  3. If S={x in R :((log)(0. 6)0. 216)(log)5(5-2x)lt=0}, then S is equal t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |