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

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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 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

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 (log)_a b=2,(log)_b c=2a n dlog_3c=(log)_3=(log)_3a+3,t h e n(a+b+c) is equal to 93 b. 102 c. 90 d. 243

If log_(2)[log_(3)(log_(2)x)]=1, then x is equal to a.0 b.12 c.128d.512

If log_(4)x+log_(2)x=6, then x is equal to a.2 b.4 c.8 d.16

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 , where a,b, c >0 & a , b , c!=1 then k is equal to a.1/5 b. 1/6 c.(log)_(64)2 d. (log)_(32)2

If b >1,sint >0,cost >0a n d(log)_b(sint)=x ,t h e n(log)_b(cost) is equal to 1/2(log)_b(a-b^(2x)) (b) 2log(1-b^(x/2)) (log)_bsqrt(1-b^(2x)) (d) sqrt(1-x^2)

If log_(10)(x-1)^(3)-3log_(10)8(x-3)=log_(10)8 then log_(x)625 has the value of equal to: 5(b)4 (c) 3 (d) 2

If f(x)=(log)_(x^(2))(log x), then f'(x) at x=e is (a) 0(b)1(c)1/e (d) 1/2e

RESONANCE DPP-JEE MAINS-All Questions
  1. The value of the expression, (log)4((x^2)/4)-2(log)4(4x^4)w h e nx=-2 ...

    Text Solution

    |

  2. Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 wit...

    Text Solution

    |

  3. 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. ...

    Text Solution

    |

  4. General solution for |sinx|=cosx is 2npi+pi/4,\ n in I (b) 2npi+-pi/4...

    Text Solution

    |

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

    Text Solution

    |

  6. Distance of point P(-2,3,4) from the line (x+2)/3=(2y+3)/4=(3z+4)/5 me...

    Text Solution

    |

  7. The number of real solutions of equation x^((log)x2)+x^2=3x is 2 b. 1 ...

    Text Solution

    |

  8. If (log)(10)(x-1)^3-3(log)(10)(x-3)=(log)(10)8,t h e n(log)x 625 has t...

    Text Solution

    |

  9. A function f from integers to integers is defined as f(x)={(n+3, n "is...

    Text Solution

    |

  10. (log)3(1-1/3)+(log)3(1+1/4)+(log)3(1+1/5)++(log)3(1+1/(242)) when simp...

    Text Solution

    |

  11. Simplify: 5^(1/((log)7 5))+1/(sqrt(-(log)(10)(0. 1)))3

    Text Solution

    |

  12. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

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

    Text Solution

    |

  14. If x satisfies the inequality log(x+3) (x^2-x) < 1 then x may belong t...

    Text Solution

    |

  15. Solve the following inequations log3((1+ 2x)/(1+x))<1

    Text Solution

    |

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

    Text Solution

    |

  17. The number N=(1+2(log)3 2)/((1+(log)3 2)^2)+log6 2 2 when simplified r...

    Text Solution

    |

  18. The solution set of the equation, (x+1)log3 2x+4x(log)3x-16=0 is an ...

    Text Solution

    |

  19. Consider the number N 7 7 4 9 5 8 P 9 6 Q (i) If P and the number N is...

    Text Solution

    |

  20. 4/(9^(1//3)-3^(1//3)+1) is equal to 3^(1//3)+1 b. 3^(1//3)-1 c. 3^...

    Text Solution

    |