Home
Class 11
MATHS
x^((log)5x)>5 implies x in (0,oo) (b) [...

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

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

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

    CENGAGE ENGLISH|Exercise All Questions|444 Videos

Similar Questions

Explore conceptually related problems

x^((log)_5x)>5 implies x in (0,oo) (b) (0,1/5)U(5,∞) (c) (2,2.5) (d) (0,2.5)

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)

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)

solve ||x-2|-1|lt 2 "(a) (2,5) (b)(-1, 5) (c) (-2,-1) (d) (0,5)"

f(x)=(x-2)|x-3| is monotonically increasing in (a) (-oo,5/2)uu(3,oo) (b) (5/2,oo) (c) (2,oo) (d) (-oo,3)

A point on the ellipse x^2+3y^2=37 where the normal is parallel to the line 6x-5y=2 is (5,-2) (b) (5, 2) (c) (-5,2) (d) (-5,-2)

If f(x)=int_(0)^(x)log_(0.5)((2t-8)/(t-2))dt , then the interval in which f(x) is increasing is (a) (-oo,2)uu(6,oo) (b) (4,6) (c) (-oo,2)uu(4,oo) (d) (2,6)

Solution set of the inequation, (x^2-5x+6)/(x^2+x+1)<0 is x in (-oo,2) (b) x in (2,3) x in (-oo,2)uu(3,oo) (d) x in (3,oo)

If log_(0.5)(x-2)ltlog_(0.25)(x-2) then x lies is the interval (A) (-3,-2) (B) (2,3) (C) (3,oo) (D) none of these

The quotient of x\ b y\ 2 added to 5 is written as (a) x/2+5 (b) 2/x+5 (c) (x+2)/5 (d) x/(2+5)

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. If x1a n dx2 are the roots of the equation e^2 x^(lnx)=x^3 with x1> x2...

    Text Solution

    |

  2. If x y^2=4a n d(log)3((log)2x)+(log)(1/3)((log)(1/2)y)=1,t h e nxe q u...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Which of the following is not the solution log(x)(5/2-1/x) gt (5/2-1/x...

    Text Solution

    |

  11. The equation x^3/4((log)2x)^(2+(log)2x-5/4)=sqrt(2) has at least one r...

    Text Solution

    |

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

    Text Solution

    |

  13. Solve for x :4^x3^(x-1//2)=3^(x+1//2)-2^(2x-1) .

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |