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

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`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

(1)/(log_(3)2)+(2)/(log_(9)4)-(3)/(log_(27)8)=0

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)

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)

(log_(10)2)^(3)+log_(10)8*log_(10)5+(log_(10)5)^(3) is

Solve :2(log)_(3)x-4(log)_(x)27 1)

(log)(81)/(8)-(2log)(3)/(2)+(3log)(2)/(3)+(log)(3)/(4)=0

((log)_(2)3)(log)_(3)4(log)_(4)5(log)_(n)(n+1)=10 Find n=?

Which of the following numbers are positive? a.(log)_(log32)((1)/(2)) b.(log )_(2)((2)/(3))^(-2/3) c.(log)_(10)(log)_(10)9 d.(log)_(10)s in25^(0)

|(log)_3 512(log)_4 3(log)_3 8(log)_4 9|xx|(log)_2 3(log)_8 3(log)_3 4(log)_3 4|= (a) 7 (b) 10 (c) 13 (d) 17

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))

ALLEN-LOGARITHMS-All Questions
  1. Which of the following when simplified reduces to an integer? a.(2l...

    Text Solution

    |

  2. The equation ((log)8(8/(x^2)))/(((log)8x^2))=3 has- a.\ no integra...

    Text Solution

    |

  3. Which of the following when simplified, vanishes? 1/((log)3 2)+2/((log...

    Text Solution

    |

  4. The number N=(1+2(log)3 2)/((1+(log)3 2)^2)+log6 2 2 when simplified r...

    Text Solution

    |

  5. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1/...

    Text Solution

    |

  6. If p , q in N satisfy the equation x^sqrt(x)=(sqrt(x))^x, then pa n...

    Text Solution

    |

  7. 9. The expression, log log..../p where p 9. The expression, log, log, ...

    Text Solution

    |

  8. Which of the following numbers are positive? a.(log)(log3 2)(1/2) b. ...

    Text Solution

    |

  9. lf logpq+logq r +logr p vanishes where p, q and r are positive reals d...

    Text Solution

    |

  10. The solution set of the system of equations log12 x(1/(logx 2)+log2 y)...

    Text Solution

    |

  11. If x1and \ x2 are the solution of the equation x^(3log10^3x-2/3log(10)...

    Text Solution

    |

  12. If a^x=b , b^y=c ,c^z=a and x=(log)b a^2; y=(log)c b^3& z=(log)a c^k ...

    Text Solution

    |

  13. If (log)k xdot(log)5k=(log)x5,k!=1,k >0, then x is equal to k (b) 1/5...

    Text Solution

    |

  14. If x^3//4((log)3x)^(2+(log)3x-5//4)=3,\ t h e n\ x has- a. one positiv...

    Text Solution

    |

  15. ((log)(10)(x-3))/((log)(10)(x^2-21))=1/2

    Text Solution

    |

  16. x^((log2 x)+4)=32

    Text Solution

    |

  17. where the base of logarithm is

    Text Solution

    |

  18. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

    Text Solution

    |

  19. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  20. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |