Home
Class 12
MATHS
Which of the following when simplified r...

Which of the following when simplified reduces to unity? `(log)_(3/2)(log)_4(log)_(sqrt(3))81` `(log)_2 6+(log)_2sqrt(2/3)` `-1/6(log)_(sqrt(3/2))((64)/(27))` (d) `(log)_(7/2)(1+2-3-:6)`

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

Which of the following when simplified reduces to unity? I. log_(1.5) log_(4) log_sqrt3 81 II. log_(2) sqrt6 +log_(2) sqrt(2/3) III. -1/6log_(sqrt(3)/2) ((64)/(27)) IV. log_(3.5) (1+2+3/6) The correct choice is:

Prove that log_(2)log_(2)log_(sqrt(3))81=1

the value of log_(3)(log_(2)(log_(sqrt(3))81))

Which of the following when simplified reduces to an integer? a.(2log6)/(log12+log3)b(log32)/(log4)c*((log)_(5)15-(log)_(5)4)/((log)_(5)128)d(log)_(1/4)((1)/(16))^(2)

Which of the following, when simplified, reduces to unity? (a) (log)_(10)5dot(log)_(10)20+((log)_(10)2)^2 (b) (2log 2+ log 3)/(log 48-log 4) . (c) -(log)_5(log)_3sqrt(5sqrt(9)) (d) 1/6(log)_((sqrt(3))/2)((64)/(27))

Which of the following when simplified, reduces to unity (A) log _(10)5.log_(10)20+(log_(10)2)^(2) (B) (2log2+log3)/(log48-log4)(c)-log_(5)log_(3)sqrt(9^((1)/(5)))(D)(1)/(6)log_((sqrt(3))/(2))((64)/(27))

Prove that: log_(3)log_(2)log_(sqrt(5))(625)=1

Evaluate log_2sqrt6+log_2 sqrt(2/3)

Which of the following when simplified, vanishes? 1/((log)_3 2)+2/((log)_9 4)-3/((log)_(27)8) (log)_2(2/3)+(log)_4(9/4) -(log)_8(log)_4(log)_2 16 (log)_(10)cot1^0+ (log)_(10)cot2^0+(log)_(10)cot3^0++(log)_(10)cot89^0

(log)_(2)(log)_(2)(log)_(3)(log)_(3)27^(3) is 0 b.1 c.2 d.3

RESONANCE DPP-JEE MAINS-All Questions
  1. Using properties of sets, show that (i) A uu(" "A nnB)" "=" "A (ii...

    Text Solution

    |

  2. The coefficient of t^24 in (1+t^2)^12(1+t^12)(1+t^24) is a. 12C6+3 b...

    Text Solution

    |

  3. Which of the following when simplified reduces to unity? (log)(3/2)(l...

    Text Solution

    |

  4. For the ellipse (x^(2))/(4) + (y^(2))/(3) = 1 , the ends of the two ...

    Text Solution

    |

  5. Determine the empty sets, singleton sets and pair sets in the followin...

    Text Solution

    |

  6. ABCD is a quadrilateral in which and/D A B"\ "=/C B A (see Fig. 7.1...

    Text Solution

    |

  7. If P(x(1),y(1)) is a point on the hyperbola x^(2)-y^(2)=a^(2), then SO...

    Text Solution

    |

  8. There are 11 teachers who teach Mathematics or Physics in a school, Of...

    Text Solution

    |

  9. The variance of 30 observations is 5. If each observation is multip...

    Text Solution

    |

  10. Find the value of C D in terms of x , in the adjoining figure, wher...

    Text Solution

    |

  11. If Aa n dB are two sets such that n(A)=150 ,n(B)=250 a n d n(AuuB)=300...

    Text Solution

    |

  12. Let 3 non-zero distinct real numbers be in A.P. and their squares in...

    Text Solution

    |

  13. In the adjoining figure find that value of a +b if angleDBE = 90^@

    Text Solution

    |

  14. Find the smallest positive number p for which the equation cos (p sin...

    Text Solution

    |

  15. Find the number ways in which 3 men and their wives can be arranged in...

    Text Solution

    |

  16. OABC is a rhombus whose three vertices A,B and C lie on a cricle with ...

    Text Solution

    |

  17. The function f:[-1//2,\ 1//2]->[-pi//2,pi//2\ ] defined by f(x)=s in^(...

    Text Solution

    |

  18. The equation 7xx^(2)-(7pi+22)xx+22pi=0has

    Text Solution

    |

  19. The value of the expression, (log)4((x^2)/4)-2(log)4(4x^4)w h e nx=-2 ...

    Text Solution

    |

  20. If the quadratic equations 3x^2 + ax + 1 = 0 and 2x^2 + bx + 1 = 0 h...

    Text Solution

    |