Home
Class 12
MATHS
If (log)(0. 3)(x-1)<(log)(0. 09)(x-1), t...

If `(log)_(0. 3)(x-1)<(log)_(0. 09)(x-1),` then `x` lies in the interval `(2,oo)` (b) `(1,2)` `(-2,-1)` (d) None of these

A

`(2,oo)`

B

`(1,2)`

C

`(-2,-1)`

D

`(1, (3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-2 : One or More than One Answer is/are Correct|4 Videos

  • LOGARITHMS

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-3 : Comprehension Type Problems|7 Videos

  • LIMIT

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

  • MATRICES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-4 : Subjective Type Problems|5 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x) = sqrt(-log_(0.3)(x-1))/sqrt(x^2 + 2x + 8) is

The domain of the function f(x)=sqrt((log_(0.3)(x-1))/(x^(2)-3x-18)) is

Find the value of x such that log_(0.3)(x-1) = log_(0.09)(x-1) .

The domain of the function f(x)=sqrt(-log_(0.3) (x-1))/(sqrt(x^(2)+2x+8))" is"

(log)_(0.3)(x-1)<(log)_(0.09)(x-1)thenx in the lies in the interval- a.(2,oo) b.(1,2) c.(-2,-1) d.(-oo,2)

The domain of the function f given by f(x)=sqrt(log_(0.3)((e^(x)-1)/(e^(x)-tan x))) contains (A) (0,(pi)/(4)](B)[(pi)/(4),(pi)/(2))(C)[-(3 pi)/(4),-(pi)/(2)) (D) ((pi)/(2),(5 pi)/(4)]

Solve :log_(0.3)(x^(2)-x+1)>0

Find the values of x satisfying the inequalities: log_(0.1)(4x^(2)-1)>log_(0.1)3x

Solve the following inequalities (i) log_(5)(3x-1) lt 1 (ii) (log_(.5)x)^(2)+log_(.5)x-2 le 0 (iii) log_(3)(x+1)+log_(3)(x+7) ge 3 (iv)log_(1//2)log_(3)(x^(2)+5)+1 le 0

VIKAS GUPTA (BLACK BOOK)-LOGARITHMS -Exercise-5 : Subjective Type Problems
  1. If (log)(0. 3)(x-1)<(log)(0. 09)(x-1), then x lies in the interval (2,...

    Text Solution

    |

  2. The number N=6^(log(10)40). 5^(log(10)36) is a natural number ,Then su...

    Text Solution

    |

  3. The minimum value of 'c' such that log(b)(a^(log(2)b))=log(a)(b^(log(2...

    Text Solution

    |

  4. How many positive integers b have the property that log(b)729 is a pos...

    Text Solution

    |

  5. The number of negative integral values of x satisfying the inequality ...

    Text Solution

    |

  6. (6)/(5)a^((log(a)x)(log(10)a)(log(a)5))-3^(log(10)((x)/(10)))=9^(log(1...

    Text Solution

    |

  7. If log(5)((a+b)/(3))=(log(5)a+log(5)b)/(2),"then" (a^(4)+b^(4))/(a^(2...

    Text Solution

    |

  8. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

    Text Solution

    |

  9. The number of real values of x satisfying the equation log(10) sqrt(...

    Text Solution

    |

  10. The ordered pair (x,y) satisfying the equation x^(2)=1+6 log(4)y and...

    Text Solution

    |

  11. If log(7)log(7) sqrt(7sqrt(7sqrt(7)))=1-a log(7)2 and log(15)log(15) s...

    Text Solution

    |

  12. The number of ordered pair(s) of (x, y) satisfying the equations log...

    Text Solution

    |

  13. If logb(n)=2 and logn(2b)=2, then b is equal to

    Text Solution

    |

  14. If log(y) x + log(x) y = 2, x^(2)+y = 12 , then the value of xy is

    Text Solution

    |

  15. If x, y satisfy the equation, y^(x)=x^(y) and x=2y, then x^(2)+y^(2)=

    Text Solution

    |

  16. Find the number of real values of x satisfying the equation. log(2)(...

    Text Solution

    |

  17. If x(1), x(2)(x(1) gt x(2)) are the two solutions of the equation 3^...

    Text Solution

    |

  18. Find the number or real values of x satisfying the equation 9^(2log(9)...

    Text Solution

    |

  19. If log(16)(log(root(4)(3))(log(root(3)(5))(x)))=(1)/(2), find x.

    Text Solution

    |

  20. The value [(1)/(6)((2log(10)(1728))/(1+(1)/(2)log(10)(0.36)+(1)/(3)log...

    Text Solution

    |