Home
Class 11
MATHS
The value of (log)(sqrt(4+2sqrt(2))sqrt(...

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

Text Solution

Verified by Experts

`X=(sqrt(4+2sqrt2))(sqrt(4-2sqrt2))`
`X=sqrt((4+2sqrt2)(4-2sqrt2))`
`X=sqrt(4^2-(2sqrt2)^2`
`X=sqrt(16-8`
`X=2^(3/2)`
`=(9*2)/3`
`=6`.
Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE|Exercise Solved Examples And Exercises|63 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE|Exercise Solved Examples And Exercises|324 Videos

Similar Questions

Explore conceptually related problems

The value of "log"_(sqrt(2)^(512)) is

The value of (sqrt(3+2sqrt2)+sqrt(3-2sqrt2))^(2^(9)) is ________.

The value of log_(sqrt2)512 is …..

The value 4^(5log_(4sqrt(2))(3-sqrt(6))-6log_8(sqrt(3)-sqrt(2))) is

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

The value of log_(sqrt2)512 is …………… .

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

sqrt(2+sqrt(2+ sqrt(2+ sqrt(2+sqrt(2)....))))

4sqrt7xx2sqrt3 =

CENGAGE-LOGARITHM-Solved Examples And Exercises
  1. Number of integers lt=10 satisfying the inequality 2(log)(1/2)(x-1)lt=...

    Text Solution

    |

  2. The number of roots of the equation (log)(3sqrt("x"))x+(log)(3x)sqrt(x...

    Text Solution

    |

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

    Text Solution

    |

  4. The number of solution of x^(log)x(x+3)^2=16 is a)0 (b) 1 (c) 2 (d...

    Text Solution

    |

  5. Find the value of log(2) (2root(3)9-2) + log(2)(12root(3)3+4+4root(3)9...

    Text Solution

    |

  6. Find the number of solutions of the following equations: 1.x^(-1/2)(l...

    Text Solution

    |

  7. Find the number of solution to equation (log)2(x+5)=6-x :

    Text Solution

    |

  8. Solve : 2(25)^x-5(10^x)+2(4^x)geq0.

    Text Solution

    |

  9. If (x(y+z-x))/(logx)=(y(z+x-y))/(logy)(z(x+y-z))/(logz),p rov et h a ...

    Text Solution

    |

  10. If (log)2y=xa n d(log)3z=x , find 72^x in terms of yand zdot

    Text Solution

    |

  11. If (log)a3=2and (log)b8=3, then prove that (log)a b=(log)3 4.

    Text Solution

    |

  12. Find the value of log tan1^0logtan2^0...........logtan89^0

    Text Solution

    |

  13. Sum of integers satisfying sqrt((log)2x-1)-1/2(log)2(x^3)+2>0 is......

    Text Solution

    |

  14. The value of b for which the equation 2(log)(1/(25))(b x+28)=-(log)5(1...

    Text Solution

    |

  15. The least integer greater than (log)2(15)* (log)(1/6)2 * (log)3 1/6 i...

    Text Solution

    |

  16. The reciprocal of 2/((log)4(2000)^6)+3/((log)5(2000)^6) is ..............

    Text Solution

    |

  17. The value of 5^((log)(1/5)(1/2))+(log)(sqrt(2))4/(sqrt(7)+sqrt(3))+(lo...

    Text Solution

    |

  18. The value of N=((log)5 250)/((log)(50)5)-((log)5 10)/((log)(1250)5) is...

    Text Solution

    |

  19. If xa n dy are real numbers such that 2log(2y-3x)=logx+logy ,then fin...

    Text Solution

    |

  20. If loge((a+b)/2)=1/2(loge a+loge b), then find the relation between a ...

    Text Solution

    |