Home
Class 12
MATHS
f(x)=log(100x)((2log(10)x+1)/(-x)) exist...

`f(x)=log_(100x)((2log_(10)x+1)/(-x))` exists, if …. .

A

`(0,10^(-2)) cup (10^(-2),10^(-1//2))`

B

`(0,10^(-1//2))`

C

`(0,10^(-1))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|94 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos
  • SCALAR AND VECTOR PRODUCTS OF THREE VECTORS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|63 Videos

Similar Questions

Explore conceptually related problems

Find the domain f(x)=log_(100x)((2 log_(10) x+1)/-x)

If f(x)=log_(a)(log_(a)x) , then f'(x), is

The domain of definition of f(x)=log_(0.5){-log_(2)((3x-1)/(3x+2))} , is

The domain of the function f(x)=log_(10)[1-log_(10)(x^(2)-5x+16)] is

The domain of definition of f(x)=log_(10) log_(10)…..log_(10)x n times, is

Statement-1 : f(x) = log_(10)(log_(1/x)x) will not be defined for any value of x. and Statement -2 : log_(1//x)x = -1, AA x gt 0, x != 1

Find the domain of the function : f(x)=sqrt((log)_(10){((log)_(10)x)/(2(3-(log)_(10)x)}}

Arrange in ascending order log_(2)(x),log_(3)(x),log_(e)(x),log_(10)(x) , if II. 0ltxlt1 .

Solution set of the in equality log_(10^(2)) x-3(log_(10)x)( log_(10)(x-2))+2 log_(10^(2))(x-2) lt 0 , is :

If f(x)=log_(e)(log_(e)x)/log_(e)x then f'(x) at x = e is

OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Chapter Test
  1. The function f(x)=log(2x-5)(x^(2)-3x-10) is defined for all belonging ...

    Text Solution

    |

  2. The domain of definition of f(x)=log(1.7)((2-phi'(x))/(x+1))^(1//2), w...

    Text Solution

    |

  3. f(x)=log(100x)((2log(10)x+1)/(-x)) exists, if …. .

    Text Solution

    |

  4. The value of x for which y=log(2){-log(1//2)(1+(1)/(x^(1//4)))-1} is a...

    Text Solution

    |

  5. Find the domain of the function f(x)=log10((log10 x^2)-5log10 x+6)

    Text Solution

    |

  6. Find the domain of the following function: f(x)=(x+0.5)^(log(0.5+x)^((...

    Text Solution

    |

  7. The domain of f(x)=3/(4-x^2)+log(10) (x^3-x) (1) (-1,0)uu(1,2)uu(3,oo)...

    Text Solution

    |

  8. The equivalent definition of f(x)=||x|-1|, is

    Text Solution

    |

  9. If f(x)||x|-1|, then fof(x) equals

    Text Solution

    |

  10. Find the range of f(x)=sec(pi/4cos^2x), where -oo<x<oo

    Text Solution

    |

  11. The period of f(x)=sin((pix)/(n-1))+ cos ((pix)/(n)), n in Z, n gt 2,...

    Text Solution

    |

  12. The function f(x)=((1)/(2))^(sinx), is

    Text Solution

    |

  13. If [x] and {x} represent the integral and fractional parts of x respe...

    Text Solution

    |

  14. Let f(x)={{:( 0,x=0),(x^(2) sin pi//2x,|x| lt 1),(x|x|, |x| ge 1):}. T...

    Text Solution

    |

  15. Let f(x)=x+1 and phi(x)=x-2. Then the value of x satisfying |f(x)+phi(...

    Text Solution

    |

  16. The domain of definition of the function f(x)=tan((pi)/([x+2])), is wh...

    Text Solution

    |

  17. The range of the function f(x)=sin [log (sqrt(4-x^(2))/(1-x)) is :

    Text Solution

    |

  18. The range of the function y=(x+2)/(x^2-8x-4)

    Text Solution

    |

  19. The range of the function f(x)=1+sinx+sin^(3)x+sin^(5)x+…… when x in ...

    Text Solution

    |

  20. The period of the function f(x)=|sin 3x|+| cos 3x| , is

    Text Solution

    |