Home
Class 12
MATHS
If x=(log)k b=(log)b c=1/2(log)c d , the...

If `x=(log)_k b=(log)_b c=1/2(log)_c d ,` then `(log)_k d` is equal to (a)`6x` (b) `(x^3)/2` (c) `2x^3` (d) `2x^8`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF INTEGRALS

    RESONANCE DPP ENGLISH|Exercise All Questions|4 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    RESONANCE DPP ENGLISH|Exercise All Questions|53 Videos

Similar Questions

Explore conceptually related problems

If x=(log)_k b=(log)_b c=1/2(log)_c d , then (log)_k d is equal to 6x (b) (x^3)/2 (c) 2x^3 (d) 2x^8

If x=(log)_k b=(log)_b c=1/2(log)_c d ,t h e n(log)_k d is equal to 6x b. (x^3)/2 c. 2x^3 d. 2x^8

If (a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b ,then b is equal to 1/2 (2) 2/3 (c) 1/3 (d) 3/2

If (log)_k xdot(log)_5k=(log)_x5,k!=1,k >0, then x is equal to k (b) 1/5 (c) 5 (d) none of these

If (log)_k xdot(log)_5k=(log)_x5,k!=1,k >0, then x is equal to k (b) 1/5 (c) 5 (d) none of these

If (log)_a b=2,(log)_b c=2,a n d(log)_3c=3+(log)_3a , then the value of c//(a b) is............

(log)_2(log)_2(log)_3(log)_3 27^3 is 0 b. 1 c. 2 d. \ 3

If x=1+(log)_a b c ,\ y=1+(log)_b c a\ a n d\ z=1+(log)_c a b ,\ then prove that x y z=x y+y z+z xdot

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16

RESONANCE DPP ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Number of roots of equation 3^(|x|)-|2-|x||=1 is a. 0 b. 2 c. 4 d. 7

    Text Solution

    |

  2. Number of solution satisfying, sqrt(5-(log)2x)=3-(log)2x are: (a)1 (b...

    Text Solution

    |

  3. If x=(log)k b=(log)b c=1/2(log)c d , then (log)k d is equal to (a)6x ...

    Text Solution

    |

  4. The number of solution of the equation, log (-2x)=2"log"(x+1) is a. ze...

    Text Solution

    |

  5. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

    Text Solution

    |

  6. Find the equation of whose roots is greater by unity than the roots...

    Text Solution

    |

  7. For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+...

    Text Solution

    |

  8. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |

  9. If product of the roots of the equation 3x^2-4x+(loga^2-log(-a)+3)=0 i...

    Text Solution

    |

  10. If every pair from among the equations x^(2)+px+qr=0,andx^(2)+rx+pq=0 ...

    Text Solution

    |

  11. The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are a...

    Text Solution

    |

  12. A quadratic equation whose roots are cosec^2theta and sec^2theta can ...

    Text Solution

    |

  13. If the equation sin^4x-(k+2)sin^2x=(k+3) has a solution then ' k ' mus...

    Text Solution

    |

  14. Simplify :""^(3)sqrt(5^((1)/(log(7)5))+(1)/(sqrt(-log(10)(0.1))))

    Text Solution

    |

  15. A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polyno...

    Text Solution

    |

  16. A polynomial P(x) of third degree vanish when x=1 & x=-2 . This polyno...

    Text Solution

    |

  17. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  18. Number of solutions of the equation t a n x+s e c x=2cos x lying in th...

    Text Solution

    |

  19. cosα is a root of the equation 25x^2+5x−12=0,−1 lt x lt 0, then the va...

    Text Solution

    |

  20. In a triangle A B C , right angled at C ,t a n A+t a n B is equal to a...

    Text Solution

    |