Home
Class 12
MATHS
If log(e)(x^(2)-16) le log(e)(4x-11), th...

If `log_(e)(x^(2)-16) le log_(e)(4x-11)`, then

A

`4 lt x le 5`

B

`x lt -4 or x gt 4`

C

`-1 le x le 5`

D

`x lt -1 or x gt 5`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2011

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If log_(e)(x^(2)-16)lelog_(e)(4x-11) ,then-

"If "log_(e)(log_(e) x-log_(e)y)=e^(x^(2_(y)))(1-log_(e)x)," then find the value of "y'(e).

The solution set of the inequality (log)_(10)(x^2-16)lt=(log)_(10)(4x-11) is 4,oo) (b) (4,5) (c) ((11)/4,oo) (d) ((11)/4,5)

The solution set of the inequality log_10 (x^2-16)le log_10 (4x-11) is

If log_e((a+b)/2)=1/2(log_e a+log_e b), then find the relation between a and b dot

If x = 9 is one of the solutions of log_(e)(x^(2)+15a^(2))-log_(e)(a-2)=log_(e)((8ax)/(a-2)) ,then

Solve log_(10)(x^(2)-2x-2) le 0 .

If 3f(x)-f(1/x)=log_(e)x^(4)(xgt0) , then prove that f(e^(x))=x .

If f(x)=log_(x)(log_(e)x) , then the value of f'(e ) is -

If f(x) =log_(e) (x^(2)-4) then find (df) /(dx)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. The coefficient of x^(10) in the expansion of 1+(1+x)+...+(1+x)^(20) i...

    Text Solution

    |

  2. Examine the consistency of the system of equations x+ y +z=1 2x+...

    Text Solution

    |

  3. Let A and B be two events with P(A^(C))=-0.3, P(B)=0.4 and )P(A nn B^(...

    Text Solution

    |

  4. Let p,q,r be the altitudes of a triangle with area S and perimeter 2t....

    Text Solution

    |

  5. Let C(1) and C(2) denote the centres of the circles x^(2)+y^(2)=4 and ...

    Text Solution

    |

  6. A straight line through the point of intersection of the lines x+2y+4=...

    Text Solution

    |

  7. Let P and Q be the points on the parabola y^(2)=4x so that the lines ...

    Text Solution

    |

  8. The incentre of an equilateral triangle is (1,1) and the equation of o...

    Text Solution

    |

  9. The value of lim(x to oo) ((n!)^((1)/(n)))/(n) is

    Text Solution

    |

  10. The area of the region bounded by the curves y=x^(3), y=(1)/(x),x=2 is

    Text Solution

    |

  11. Let y be the solution of the differential equation x(dy)/(dx)=(y^(2))/...

    Text Solution

    |

  12. The area of the region bounded by the curves y=sin^(-1), x+x(1-x) and ...

    Text Solution

    |

  13. The value of the integral int(1)^(5)[|x-3|+|1-x|]dx is equal to

    Text Solution

    |

  14. If f(x) and g(x) are twice differentiable functions on (0,3) satisfyin...

    Text Solution

    |

  15. Let [x] denote the greates integer less than or equal to x, then the v...

    Text Solution

    |

  16. The points representing the complex number z for which arg ((z-2)/(z+2...

    Text Solution

    |

  17. Let a,b,c,p,q,r be positive real numbers such that a,b,c are in G.P an...

    Text Solution

    |

  18. Let S(k) be the sum of an infinite G.P series whose first is k and com...

    Text Solution

    |

  19. The quadratic equation 2x^(2)-(a^(3)+8a-1)x+a^(2)-4a=0 possesses roots...

    Text Solution

    |

  20. If log(e)(x^(2)-16) le log(e)(4x-11), then

    Text Solution

    |