Home
Class 12
MATHS
The value of 6+log(3/2)(1/(3sqrt2)sqrt(4...

The value of `6+log_(3/2)(1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2).....))))` is

Text Solution

Verified by Experts

The correct Answer is:
`4`
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos

Similar Questions

Explore conceptually related problems

The value of 6+log_((3)/(2))((1)/(3sqrt(2))sqrt(4-(1)/(3sqrt(2))sqrt(4-(1)/(3sqrt(2))sqrt(4-(1)/(3sqrt(2))...cdots))))

The value of 6+log_((3)/(2))((1)/(3sqrt(2))sqrt(4-(1)/(3sqrt(2))sqrt(4-...))

The value of 6+(log)_(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqrt(4 - 1/(3sqrt(2))....... } is ...............

The value of log_((9)/(4))((1)/(2sqrt(3))sqrt(6-(1)/(2sqrt(3))sqrt(6-(1)/(2sqrt(3))sqrt(6-(1)/(2sqrt(3)))))...oo) is

(1)/(sqrt(2)+sqrt(3))+(1)/(sqrt(3)+sqrt(4))

(1)/(sqrt(2)+sqrt(3))-(sqrt(3)+1)/(2+sqrt(3))+(sqrt(2)+1)/(2+2sqrt(2))

RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Let P={theta:sintheta-costheta=sqrt2cos theta}and Q={theta:sintheta+c...

    Text Solution

    |

  2. Let theta ,phi in [0,2pi] be such that 2 cos theta (1-sin phi)=sin^2 t...

    Text Solution

    |

  3. The value of 6+log(3/2)(1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sqrt2)sq...

    Text Solution

    |

  4. If 3^(x)=4^(x-1), then x=

    Text Solution

    |

  5. For x in (0,pi) the equation sinx+2sin2x-sin3x=3 has

    Text Solution

    |

  6. The number of distinct solutions of the equation 5/4cos^(2)2x + cos^4 ...

    Text Solution

    |

  7. Let -1/6 < theta < -pi/12 Suppose alpha1 and beta1, are the root...

    Text Solution

    |

  8. Let S={xepsilon(-pi,pi):x!=0,+pi/2}The sum of all distinct solutions ...

    Text Solution

    |

  9. Q. The value of is equal sum(k=1)^13(1/(sin(pi/4+(k-1)pi/6)sin(pi/4+k ...

    Text Solution

    |

  10. Let alphaa n dbeta be nonzero real numbers such that 2(cosbeta-cosalph...

    Text Solution

    |

  11. The value of ((log(2)9)^(2))^((1)/(log(2)(log(2)9)))xx(sqrt(7))^((1)/...

    Text Solution

    |

  12. If A, B and C are three sets such that AnnB""=""AnnC and AuuB""=""AuuC...

    Text Solution

    |

  13. If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma, then which...

    Text Solution

    |

  14. Let cos(alpha+beta)=(4)/(5) and let sin(alpha-beta)=(5)/(13), where 0 ...

    Text Solution

    |

  15. If A = sin^2x + cos^4 x, then for all real x :

    Text Solution

    |

  16. Let X""=""{1,""2,""3,""4,""5} . The number of different ordered pairs ...

    Text Solution

    |

  17. In a DeltaPQR. if 3 sinP +4 cosQ=6 and 4sinQ+3cosP=1, then the angle R...

    Text Solution

    |

  18. If A and B two sets containing 2 elements and 4 elements, respectively...

    Text Solution

    |

  19. The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as :

    Text Solution

    |

  20. If X""=""{4^n-3n-1"":""n in N}""a n d""Y""=""{9(n-1)"": n in N} , wh...

    Text Solution

    |