Home
Class 11
MATHS
Solve the inequality sqrt((log)2((2x-3)/...

Solve the inequality `sqrt((log)_2((2x-3)/(x-1)))<1`

A

`x``in(2, oo)`

B

`x``in(-oo,1)`

C

`x``in(-2, oo)`

D

`x``in(-oo,1)uu(3/2,oo)`

Text Solution

Verified by Experts

The correct Answer is:
A
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

f(x)=sqrt(log((3x-x^(2))/(x-1)))

Solve the inequality: log_(2)(2x-3)gtlog_(2)(24-6x)

Solve the inequation log_((x-3))(2(x^(2)-10x+24))gelog_((x-3))(x^(2)-9)

Solve the inequation sqrt((x+14))lt(x+2)

Solve the inequality: log_(1//2)(x+1) gt log_(2)(2-x)

Solve the inequation sqrt((-x^(2)+4x-3))gt6-2x

Solve the inequation sqrt(3x -8) lt -2

Solve the inequality: log_(x)2.log_(2x)2. log_(2)4x gt 1

Solve the inequation log_(((x^2-12x+30)/10))(log_2((2x)/5))gt0

Solve the inequation -|y|+x-sqrt((x^(2)+y^(2)-1))ge1

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. If ageqb >1, then find the largest possible value of the expression (l...

    Text Solution

    |

  2. Solve : 3^((log9 x))xx2 = 3sqrt(3)

    Text Solution

    |

  3. Solve the inequality sqrt((log)2((2x-3)/(x-1)))<1

    Text Solution

    |

  4. Find the number of solutions of equation 2^x+3^x+4^x-5^x=0

    Text Solution

    |

  5. If y=a^(1/(1-(log)a x)) and z=a^(1/(1-(log)a y)),then prove that x=a^...

    Text Solution

    |

  6. Solve (log)x2(log)(2x)2=(log)(4x)2.

    Text Solution

    |

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

    Text Solution

    |

  8. Solve sqrt("log"(-x))=logsqrt("x"^2) (base is 10).

    Text Solution

    |

  9. If (log)3{5+4(log)3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (...

    Text Solution

    |

  10. If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1] , then x= 4 (b) 3 (c) 2 ...

    Text Solution

    |

  11. The value of x satisfying the equation 3sqrt(5)^((log5) 5^(((log)5(l...

    Text Solution

    |

  12. If 2^(x+y)=6^y and 3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y)...

    Text Solution

    |

  13. The value of 3^((log)4 5)-5^((log)4 3) is 0 (b) 1 (c) 2 (d) none of...

    Text Solution

    |

  14. If a^4b^5=1 then the value of loga(a^5b^4) equals

    Text Solution

    |

  15. If (log)2x+(log)x2=(10)/3=(log)2y+(log)y2a n dx!=y ,t h ex+y= 2 (b) 6...

    Text Solution

    |

  16. If (x+1)^((log)(10)(x+1))=100(x+1), then all the roots are positive re...

    Text Solution

    |

  17. if (log)y x+(log)x y=2,x^2+y=12 , the value of x y is 9 (b) 12 (c) ...

    Text Solution

    |

  18. If sqrt((log)2x)-0. 5=(log)2sqrt(x ,) then x equals odd integer (b)...

    Text Solution

    |

  19. Find the value of 81^((1//log5 3))+(27^(log9 36)) + 3^((4/(log7 9))

    Text Solution

    |

  20. Find the value of (1/(49))^(1+(log)7 2)+5^(-1(log)((1/5))(7))

    Text Solution

    |