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)`

A

`log _(3/2)log_(4)log_(sqrt(3))81`

B

`log_(2)+6log_(2)sqrt((2)/(3))`

C

`-1/6log_((sqrt(3))/(2))((64)/(27))`

D

`log_(7/2)(1+2-3/6)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos
  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 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:

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

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 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, vanishes? a. 1/((log)_3 2)+2/((log)_9 4)-3/((log)_(27)8) b. (log)_2(2/3)+(log)_4(9/4) c. -(log)_8(log)_4(log)_2 16 d. (log)_(10)cot1^0+\ (log)_(10)cot2^0+(log)_(10)cot3^0++(log)_(10)cot89^0

Prove that log_3log_2log_(sqrt3) 81=1

Which of the following numbers are positive/negative? (log)_2 7 (ii) (log)_(0. 2)3 (iii) (log)_(1//3)(1/5) (iv) (log)_4 3 (v) (log)_2((log)_2 9)

Which of the following numbers are non positive? (A) 5^(log_(11)7)-7(log_(11)5) (B) log_(3)(sqrt(7)-2) (C) log_(7)((1)/(2))^(-1//2) (D) log_(sqrt(2)-1) (sqrt(2)+1)/(sqrt(2)-1)

Prove that: log_3log_2log_(sqrt(5))(625)=1

Which of the following is not the solution of (log)_3(x^2-2)<(log)_3(3/2|x|-1) is (sqrt(2),2) (b) (-2,-sqrt(2)) (-sqrt(2),2 (d) none of these

RESONANCE ENGLISH-DPP-QUESTION
  1. If a+b+c=2,a^(2)+b^(2)+c^(2)=1 and abc = 3 then 1/a+1/b+1/c is equal t...

    Text Solution

    |

  2. If 3x=a+b+c , then the value of (x-a)^3+\ (x-b)^3+\ (x-c)^3-3\ (x-a)(x...

    Text Solution

    |

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

    Text Solution

    |

  4. If log(6)log(2)[sqrt(4x+2)+2sqrtx]=0thenx=.

    Text Solution

    |

  5. The value 'x' satisfying the equation, 4^(log(9)3)+9^(log(2)4)=10^(log...

    Text Solution

    |

  6. If x=prod(n=1)^(2000)n, then the value of the expression, (1)/((1)/(l...

    Text Solution

    |

  7. Simplify :""^(3)sqrt(5^((1)/(log(7)5))+(1)/(sqrt(-log(10)(0.1))))

    Text Solution

    |

  8. Solved the following inequations {:((i), (x-5)(x+9)(x-8)lt0,(ii),x^(...

    Text Solution

    |

  9. If m,n in N and m=(n^2-n-35)/(n-4), then find the value of m.

    Text Solution

    |

  10. If x^3 + y^3 + 1 = 3xy, where x!= y determine the value of x + y + 1.

    Text Solution

    |

  11. Number of integers whose characteristic of logarithms to the base 10 i...

    Text Solution

    |

  12. If mantissa of lagarithm of 719.3 to the base 10 is 0.8569 then mantis...

    Text Solution

    |

  13. Number of digits in integral part of 60^(12)+60^(-12)-60^(-15)is ("giv...

    Text Solution

    |

  14. Find logarithm of the following values: 500

    Text Solution

    |

  15. Find antilog of the following values: 0. 0125

    Text Solution

    |

  16. (i) Find antilog of 0.4 to the base 32. (ii) Find antilog of 2 to t...

    Text Solution

    |

  17. Given log(10)2=0.3010."find"log(25)200 by using log table

    Text Solution

    |

  18. Find volume of a cuboid whose edges are 58.73cm,2.631 cm and 0.3798cm ...

    Text Solution

    |

  19. Find the value of (23.17)^((1)/(5.76)) using log table.

    Text Solution

    |

  20. Find number of digits in 875^(16), given log2=.3010300,log7=.8450980.

    Text Solution

    |