Home
Class 11
MATHS
The value of 6+(log)(3/2)[1/(3sqrt(2)) ...

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

Text Solution

Verified by Experts

`y=sqrt((4-1/(3sqrt2))sqrt((4-1/(3sqrt2)sqrt((4-1/(3sqrt2)...`
`y=sqrt(4-1/(3sqrt2)y`
`y^2=4-y/(3sqrt2)`
`3sqrt2y^2+y-12sqrt2=0`
`y=(-1+sqrt(1-(-12sqrt2)*(3sqrt2)*4))/(2*3sqrt2)`
`y=(-1+sqrt(1+144*2))/(2*3sqrt2)`
`y=(-1+sqrt289)/(6sqrt2)`
`y=8/(3sqrt2)`
...
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE PUBLICATION|Exercise All Questions|430 Videos

Similar Questions

Explore conceptually related problems

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

The value of (log)_(sqrt(4+2sqrt(2))sqrt(4-2sqrt(2)))2^9 is...........

The value of 5^((log)_(1/5)(1/2))+(log)_(sqrt(2))4/(sqrt(7)+sqrt(3))+(log)_(1/2)1/(10+2sqrt(21)) is.........

int (dx)/(sqrt(1+sqrt(x)))=(4)/(3)(sqrt(x)-2)sqrt(1+sqrt(x))+c

The value of sin^(-1)(-sqrt3/2)+cos^(-1)(sqrt3/2) is

4 cos^(2)x + sqrt(3) = 2(sqrt(3)+1)

Find the value of (4/(log_(2)(2sqrt3))+2/(log_(3) (2sqrt3)))^(2) .

The value of lim_(xto2) (sqrt(1+sqrt(2+x))-sqrt(3))/(x-2)" is "

The value of sin ^(-1)""((sqrt(3))/(2))+cos^(-1)""(-(sqrt(3))/(2)) is -

CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. Solve for: x :(2x)^((log)b2)=(3x)^((log)b3) .

    Text Solution

    |

  2. Let a=(log)3(log)3 2. An integer k satisfying 1<2^(-k+3^((-a)))<2, mus...

    Text Solution

    |

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

    Text Solution

    |

  4. (log)(x-1)x (log)(x-2)(x-1) .....(log)(x-12)(x-11)=2,x is equal to:

    Text Solution

    |

  5. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x2)=f(x1+x2) (b)f(x+2)-...

    Text Solution

    |

  6. If a , b , c are consecutive positive integers and log(1+a c)=2K , the...

    Text Solution

    |

  7. If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3)/(a+(log)4 3)=b ,then b is eq...

    Text Solution

    |

  8. If p >1 and q >1 are such that log(p+q)=logp+logq ,then the value of l...

    Text Solution

    |

  9. The value of (1+2(log)3 2)/((1+(log)3 2)^2)+((log)6 2)^2 is

    Text Solution

    |

  10. If (log)4 5=aa n d(log)5 6=b , then (log)3 2 is equal to 1/(2a+1) (b)...

    Text Solution

    |

  11. If (log)(10)2=a ,(log)(10)3=bt h e n(log)(0. 72)(9. 6) in terms of a a...

    Text Solution

    |

  12. There exists a natural number N which is 50 times its own logarithm t...

    Text Solution

    |

  13. The value of ((log)2 24)/((log)(96)2)-((log)2 192)/((log)(12)2) is 3 (...

    Text Solution

    |

  14. Find the number of solutions of equation (2x-3)2^x=1

    Text Solution

    |

  15. Find the value of (log)(2sqrt(3))1728.

    Text Solution

    |

  16. Prove that 1/3<(log)(10)3<1/2dot

    Text Solution

    |

  17. Arrange (log)2 5,(log)(0. 5)5,(log)7 5,(log)3 5 in decreasing order.

    Text Solution

    |

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

    Text Solution

    |

  19. Solve: |x-3|^(3x^2-10 x+3)=1

    Text Solution

    |

  20. Solve: (1/2)^x^(2-2x)<1//4.

    Text Solution

    |