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

Find the value of log_2sqrt128

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

The value of sqrt(2+sqrt(2+ sqrt(2….oo))) is

Find the value of (sqrt2 + sqrt8)^(2)

The value of int (dx)/(sqrt(9-4x^(2)) is-

Evaluate : 3sqrt(-4) + 2 sqrt(-9)

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

Calculate : (iv) 2log_(2)sqrt(2sqrt(2sqrt(2....................oo)))

CENGAGE PUBLICATION-LOGARITHM-All Questions
  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. Find the value of (log)2(2 9 3-2)+(log)2(12 3 3+4+4 9 3)dot

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If 2x^((log)4 3)+3^((log)4x)=27 , then x is equal to

    Text Solution

    |