Home
Class 12
MATHS
Solve log(2).(x-1)/(x-2) gt 0 or (x-1)/...

Solve ` log_(2).(x-1)/(x-2) gt 0 or (x-1)/(x-2) gt 2^(0)` .

A

`x gt 2`

B

`x lt 2`

C

`x le 3`

D

`x gt 1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 2 (Level -I)|19 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 2 (Level -II)|11 Videos

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 4|4 Videos

  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - II|14 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

Similar Questions

Explore conceptually related problems

Solve :log_(2)(x-1)/(x-2)>0

Solve log_(2)(x-1) gt 4 .

Solve log_(x-2)(3x^2-x-1)>0 .

Solve log_(x)(x^(2)-1)<=0

Solve log_(0.2). (x+2)/x le 1 .

Solve log_(3x -2) x^(2) gt log _(3x-2) (3x -2)

Solve (|x-1|)/(x+2) gt 1

Solve (x-1)(x-2)(1-2x) gt 0 .

Solve : (x-1)/(x-2) gt1

Solve: |(2x-1)/(x-1)|gt2,x in R

MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 1
  1. Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :

    Text Solution

    |

  2. Number of real solution of the equation sqrt(log(10)(-x)) = log(10) sq...

    Text Solution

    |

  3. Solve for x: log(4) log(3) log(2) x = 0.

    Text Solution

    |

  4. 2 log(4) (4 - x) = 4 - log(2) ( - 2 - x).

    Text Solution

    |

  5. log(10)^(2) x + log(10) x^(2) = log(10)^(2) 2 - 1

    Text Solution

    |

  6. Solve log(2).(x-1)/(x-2) gt 0 or (x-1)/(x-2) gt 2^(0) .

    Text Solution

    |

  7. Solve (log)(0. 04)(x-1)geq(log)(0. 2)(x-1)

    Text Solution

    |

  8. Solve log(2)(x-1) gt 4.

    Text Solution

    |

  9. Solve log(x+3)(x^(2)-x) lt 1.

    Text Solution

    |

  10. How many digits are contained in the number 2^(75) ?

    Text Solution

    |

  11. Let m be the number of digits in 3^(40) and p be the number of zeroes...

    Text Solution

    |

  12. Given that log(10)(2) = 0.3010..., number of digits in the number 2000...

    Text Solution

    |

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

    Text Solution

    |

  14. The number of real roots of the equation |x|^(2) -3|x| + 2 = 0, is

    Text Solution

    |

  15. Solution of |4x +3| + |3x - 4| = 12 is

    Text Solution

    |

  16. |(x-3)|+2|(x+1)|=4

    Text Solution

    |

  17. Solution of equation: |x|^(2) - |x|+4= 2 x^(2) - 3 |x| + 1

    Text Solution

    |

  18. If log(10) 2 = 0.3010 & log(10) 3 = 0.4771, find the value of log (10)...

    Text Solution

    |

  19. The value of the expression log(10) (tan 6^(@))+log(10) (tan 12^(@))+l...

    Text Solution

    |

  20. Let ABC be a triangle right at C. The value of (log(b+c)a+log(c-b)a)/(...

    Text Solution

    |