Home
Class 12
MATHS
The value of expression, (log)4((x^2)/4)...

The value of expression, `(log)_4((x^2)/4)-2(log)_4(4x^4)` when `x=-2` is
(a)`-6` (b) `-5` (c) `-4` (d) meaningless

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Solve (log)_x2(log)_(2x)2=(log)_(4x)2.

The number of solutions of (log)_4(x-1)=(log)_2(x-3) is (2001, 2M) (a) 3 (b)1 (c) 2 (d) 0

Solve for x :(log)_("x"+1)(x^2+x-6)^2=4

Solve the equation 2x^(log_(4)^(3))+3^(log_(4)^(x)=27

Find the value of 49^A+5^B where A=1-(log)_7 2, B=-(log)_5 4.

The number of solutions of the equation log_7(x+2)=log_49(4-x) is :-

Solve for x :(log)_4(log)_3(log)_2x=0

Find domain of f(x)=sqrt(log_(1/2)((5x-x^2)/4))

Solve the equation log_(3)(5+4log_(3)(x-1))=2

The range of a function f(x)=tan^(-1){log_(5//4)(5x^(2)-8x+4)} is

ALLEN -LOGARITHMS-All Questions
  1. 1/((log)(sqrt(b c))a b c)+1/((log)(sqrt(c a))a b c)+1/((log)(sqrt(a b)...

    Text Solution

    |

  2. The ratio (2^(log(2)a^4)-3^(log(27)(a^2+1)^3)-2a)/((7^(4log(49)a)-a-1)...

    Text Solution

    |

  3. The value of expression, (log)4((x^2)/4)-2(log)4(4x^4) when x=-2 is ...

    Text Solution

    |

  4. If 1/a+1/b+1/c = 1/(a+b+c) then (a+b)(b+c)(c+a)=....... a.a b c ...

    Text Solution

    |

  5. Which one of the following denotes the greatest positive proper frac...

    Text Solution

    |

  6. If p=s/((1+k)^n),\ t h e n\ n\ equals a.logs/(p(1+k)) b. (log(s/p)...

    Text Solution

    |

  7. Value of x satifying (log)(10)sqrt(1+x)+3(log)(10)sqrt(1-x)=(log)(10)s...

    Text Solution

    |

  8. Given system of simultaneous equations 2^x\ . 5^y=1\ a n d\ 5^(x+1). 2...

    Text Solution

    |

  9. The value of N satisfying (log)a[1+(log)b\ {1+(log)c(1+(log)p N)}]=0 i...

    Text Solution

    |

  10. If alpha, beta, gamma are the roots of the cubic x^(3)-px^(2)+qx-r=0 ...

    Text Solution

    |

  11. If a^x=b , b^y=c ,c^z=a and x=(log)b a^2, y=(log)c b^3,z=(log)a c^k ,...

    Text Solution

    |

  12. The number of real solutions of the equation (9/10)^(x)=-3+x-x^(2) is

    Text Solution

    |

  13. Which of the following when simplified reduces to an integer? a.(2...

    Text Solution

    |

  14. The equation ((log)8(8/(x^2)))/(((log)8x^2))=3 has a.\ no integra...

    Text Solution

    |

  15. Which of the following when simplified reduces to an integer? a.(2...

    Text Solution

    |

  16. If alpha, beta be the roots of the equation x^(2)-px+q=0, then find th...

    Text Solution

    |

  17. Which one of the following denotes the greatest positive proper frac...

    Text Solution

    |

  18. If log(a)b +log(b)c = +log(c) a vanishes where a,b and c are positive ...

    Text Solution

    |

  19. The solution set of the system of equations log12 x(1/(logx 2)+log2...

    Text Solution

    |

  20. If x1and \ x2 are the solution of the equation x^(3log10^3x-2/3log(10)...

    Text Solution

    |