Home
Class 10
MATHS
If x = log((1)/(2)).(4)/(3).log(2).(1)/(...

If `x = log_((1)/(2)).(4)/(3).log_(2).(1)/(3). log_((2)/(3)) 0.8`, then ______.

A

`x gt 0`

B

`x lt 0`

C

x = 0

D

`x ge 0`

Text Solution

Verified by Experts

The correct Answer is:
A
`log_(b) gt 0,` when `a gt 1` and `b lt 1`
`log_(b) a lt 0` when `a lt 1` and `b gt 1`
`log_(b) a gt 0` when `a lt 1` and `b lt 1`.
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 2|15 Videos

  • LOGARITHMS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|15 Videos

  • LOGARITHMS

    PEARSON IIT JEE FOUNDATION|Exercise Essay Type Questions|5 Videos

  • LINEAR PROGRAMMING

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|10 Videos

  • MATHEMATICAL INDUCTION AND BIONOMIAL THEOREM

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|15 Videos

Similar Questions

Explore conceptually related problems

log_(2)(3-x)+log_(2)(1-x)=3

log_(2)log_((1)/(2))log_(3)(3x+1)>0

log_(2)(x+1)-log_(2)(3x-1)=2

Solve log_(4)(x-1)= log_(2) (x-3) .

(1)/(log_(3)2)+(2)/(log_(9)4)-(3)/(log_(27)8)=0

If log_((1)/(8))(log_((1)/(4))(log_((1)/(2))x))=(1)/(3)th n x is

log_((1)/(2))log_(3)(x^(2)+5)+1<=0

log_(2)log_(3)log_(4)(x-1)>0

(log)(81)/(8)-(2log)(3)/(2)+(3log)(2)/(3)+(log)(3)/(4)=0

PEARSON IIT JEE FOUNDATION-LOGARITHMS-Level 1
  1. If log(3) .(x^(3))/(3) - 2 log(3) 3x^(3)=a-b log(3)x, then find the v...

    Text Solution

    |

  2. The value of log(40)5 lies between .

    Text Solution

    |

  3. If x = log((1)/(2)).(4)/(3).log(2).(1)/(3). log((2)/(3)) 0.8, then .

    Text Solution

    |

  4. If log(144)729 = x, then the value of log(36)256 is .

    Text Solution

    |

  5. The solution set of the equation log (2x - 5) - log 3 = log 4 - log (x...

    Text Solution

    |

  6. If log(10)tan 19^(@) + log(10) tan 21^(@) + log(10) tan 37^(@) + log(1...

    Text Solution

    |

  7. The solution set of the equation log (x + 6) - log 8 = log 9 - log (x ...

    Text Solution

    |

  8. If log(40) 4 = x and log(40) 5 = y, then express log(40)32 in terms o...

    Text Solution

    |

  9. If log(10) 11 = p, then log(10)((1)/(110)) = .

    Text Solution

    |

  10. If log(4).(x^(4))/(4)+3log(4) 4x^(4) = p + q log(4) x, then the value...

    Text Solution

    |

  11. If log(4) x + log(8)x^(2) + log(16)x^(3) = (23)/(2), then log(x) 8 =

    Text Solution

    |

  12. If log((x+y))(x - y) = 7, then the value of log((x^(2)-y^(2)))(x^(2)+...

    Text Solution

    |

  13. The value of log(35)3 lies between .

    Text Solution

    |

  14. If log((a+b)/(6))=(1)/(2)(loga+logb), then (a)/(b) + (b)/(a) = .

    Text Solution

    |

  15. If log(p)q = x, then log(1//p)((1)/(q))= .

    Text Solution

    |

  16. If log((x-y))(x+y)=5, then what is the value of log(x^(2)-y^(2))(x^(2...

    Text Solution

    |

  17. The value of log(a)1+log(2)2^(2) + log(3)3^(3) (where a is a positive...

    Text Solution

    |

  18. log(1//2).(2)/(3) log(2//3) .(1)/(2). The appropriate symbol in the ...

    Text Solution

    |

  19. The value of log(3)[log(2){log(4)(log(5)625^(4))}] is .

    Text Solution

    |

  20. If log(x-3)+log(x+2)=log(x^(2)+x-6), then the real value of x, which ...

    Text Solution

    |