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

    CENGAGE PUBLICATION|Exercise All Questions|430 Videos

Similar Questions

Explore conceptually related problems

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)

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)

Let f: RvecR be a continuous and differentiable function such that (f(x^2+1))^(sqrt(x))=5forAAx in (0,oo), then the value of (f((16+y^2)/(y^2)))^(4/(sqrt(y)))fore a c hy in (0,oo) is equal to 5 (b) 25 (c) 125 (d) 625

Let f(x) be a quadratic expression such that f(-1)+f(2)=0 . If one root of f(x)=0 is 3 , then the other root of f(x)=0 lies in (A) (-oo,-3) (B) (-3,oo) (C) (0,5) (D) (5,oo)

Find the values of 1/x for the following values fo x: (a) (2,5) " (b) "[-5,-1) " (c ) "(3,oo) (d) (-oo,-2] " (e ) "[-3,4]

The set of value(s) of a for which the function f(x)=(a x^3)/3+(a+2)x^2+(a-1)x+2 possesses a negative point of inflection is (a) (-oo,-2)uu(0,oo) (b) {-4/5} (c) (-2,0) (d) empty set

The value of a for which the function f(x)=(4a-3)(x+log5)+2(a-7)cot(x/2)sin^2(x/2) does not possess critical points is (a) (-oo,-4/3) (b) (-oo,-1) (c) [1,oo) (d) (2,oo)

The least natural number a for which x+a x^(-2)>2AAx in (0,oo) is 1 (b) 2 (c) 5 (d) none of these

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. 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 a solution of (logx)(5/2-1/x) gt (5/2-1/x) ?

    Text Solution

    |

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

    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^x-3^(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

    |