Home
Class 12
MATHS
The number of real values of the paramet...

The number of real values of the parameter k for which `(log_(16)x)^(2) - log_(16) x+ log_(16) k = 0` with real coefficients will have exactly one solution is

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|9 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|12 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise For Session 3|5 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

The set of real values of x for which log_ 0.2((x+2)/x) ≤1 is

The number of real solutions of the equation log_(0.5)x=|x| is

The number of real solutions of the equation log_(a)x=|x|,0 lt a lt 1 , is

Find the number of real values of x satisfying the equation. log_(2)(4^(x+1)+4)*log_(2)(4^(x)+1)=3

The value of x satisfying the equation x + log_(10) (1 + 2^x) = x log_10 5 + log_10 6 is

The values of x, satisfying the equation for AA a > 0, 2log_(x) a + log_(ax) a +3log_(a^2 x)a=0 are

Number of real values of x satisfying the equation log_(x^2+6x+8)(log_(2x^2+2x+3)(x^2-2x))=0 is equal to

Find the domain f(x)=log_(100x)((2 log_(10) x+1)/-x)

Number of real roots of equation 3^(log3^((x^2-4x+3)))=(x-3) is

The value of b for which the equation 2 log_(1//25)(bx+28)=- log_(5) (12-4x-x^(2)) has coincident roots is

ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Single Option Correct Type Questions)
  1. Given that log(2)=0. 3010 , the number of digits in the number 2000^(...

    Text Solution

    |

  2. There exists a positive number k such that log2x+ log4x+ log8x= logkx...

    Text Solution

    |

  3. If x1,x2 & x3 are the three real solutions of the equation x^(log10^2...

    Text Solution

    |

  4. If f(n)=prod(i=2)^(n-1)logi(i+1), the value of sum(k=1)^100f(2^k) equa...

    Text Solution

    |

  5. If x-1/x=m then the value of x^3-1/x^3 is :

    Text Solution

    |

  6. In Which quadrant Point (-2,3) will be lie.

    Text Solution

    |

  7. Solve for x if x(x-4)= -4

    Text Solution

    |

  8. If xn > x(n-1) > ..........> x3 > x1 > 1. then the value of log(x1) [...

    Text Solution

    |

  9. If (x(y+z-x))/log x = (y(z+x-y))/log y = (z(x+y-z))/log z ," prove th...

    Text Solution

    |

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

    Text Solution

    |

  11. If (log)(0. 3)(x-1)<(log)(0. 09)(x-1), then x lies in the interval (...

    Text Solution

    |

  12. The value of a^x-b^y is (wherex=sqrt(logab)and y=sqrt(logba),agt0,bgt0...

    Text Solution

    |

  13. If x=1+log(a) bc, y=1+log(b) ca, z=1+log(c) ab, then (xyz)/(xy+yz+zx) ...

    Text Solution

    |

  14. The value of a^((logb(logbN))/(logb a)), is

    Text Solution

    |

  15. Find the value of 49^((1-log7(2)))+5^(-log5(4) is

    Text Solution

    |

  16. The number of real values of the parameter k for which (log(16)x)^(2) ...

    Text Solution

    |

  17. Solve the equation x^(log(x)(x+3)^(2))=16.

    Text Solution

    |

  18. The point on the graph y=log2log6{2^sqrt(2x+1)+4} whose y coordinate i...

    Text Solution

    |

  19. Find dy/dx ,if 2x^2-xy+4y^2 = 200

    Text Solution

    |

  20. The values of x, satisfying the equation for AA a > 0, 2log(x) a + lo...

    Text Solution

    |