Home
Class 12
MATHS
The expression logp.logp(((p)^(1/p))^(1/...

The expression `log_p.log_p(((p)^(1/p))^(1/p)........n time)^(1/p)` where `p>= 2`, when simplified is (A)independent of p, but dependent on n (B) independent of n, but dependent on p (C) dependent on both p & n (D) negative

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If A ,B ,C be three mutually independent events, then Aa n dBuuC are also independent events. Statement 2: Two events Aa n dB are independent if and only if P(AnnB)=P(A)P(B)dot

If A and B' are independent events, then P(A'cupB)=1-P(A)P(B') .

If A and B be independent events with P(A) = 1/4 and (P(A cupB) = 2P(B) - P(A) , then P(B) is equal to

If P(n) is the statement n(n+1) is even, then what is P(3)?

If P(A)=0. 4 ,P(B)=p ,P(AuuB)=0. 6a n dAa n dB are given to be independent events, find the value of pdot

If A and B are two independent events such that P(AuuB)=0. 60\ a n d\ P(A)=0. 2 , find P(B)dot

If A and B are two independent events such tat P(A)=0. 3\ a n d\ P(Auu B )=0. 8 Find P(B)dot

Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=0. 6 . Find: P(Ann B )

Given two independent events A and B such that P(A)=0. 3\ a n d\ P(B)=0. 6 . Find: P( A nn B )

X follows a binomial distribution with parameters n and p where 0ltPlt1 . If (P(X=r))/(P(X=n-r)) is independent of n and r then p=

ALLEN-LOGARITHMS-All Questions
  1. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1...

    Text Solution

    |

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

    Text Solution

    |

  3. The expression logp.logp(((p)^(1/p))^(1/p)........n time)^(1/p) where ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. x^((log2 x)+4)=32 then find x.

    Text Solution

    |

  12. where the base of logarithm is ?

    Text Solution

    |

  13. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. Statement I: the equation (log)(1/(2+|"x"|))(5+x^2)=(log)()(15+sqrt(x)...

    Text Solution

    |

  17. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

    Text Solution

    |

  18. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

    Text Solution

    |

  19. Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x\ are parameters. O...

    Text Solution

    |

  20. Comprehension 2 In comparison of two numbers, logarithm of small...

    Text Solution

    |