Home
Class 12
MATHS
Let n in N, f(n)={(log(8)n" if "log(8)n ...

Let `n in N, f(n)={(log_(8)n" if "log_(8)n " is integer"),(0" otherwise"):}`, then the valud of `sum_(n=1)^(2011) f(n)` is :

A

2011

B

`2011xx1006`

C

6

D

`2^(2011)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    VK JAISWAL|Exercise Exercise-2 : One or More than One Answer is/are Correct|4 Videos

  • LOGARITHMS

    VK JAISWAL|Exercise Exercise-3 : Comprehension Type Problems|7 Videos

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|7 Videos

  • MATRICES

    VK JAISWAL|Exercise Exercise-4 : Subjective Type Problems|5 Videos

Similar Questions

Explore conceptually related problems

If 2 log_(8) N = p , log_(2) 2 N = q , and q - p = 4 , then the value of N is

sum_(n=1)^(n)(1)/(log_(2)(a))

Let f(n) = [(1)/(2) + (n)/(100)] where [n] denotes the integral part of n. Then the value of sum_(n=1)^(100) f(n) is

If n=1999! then sum_(x=1)^(1999)log_(n)x=

Let f(n) = [1/4 + n/1000] , where [x] denote the integral part of x. Then the value of sum_(n=1)^(1000) f(n) is

sum_(n=1)^(1023)log_(2)(1+(1)/(n)) is equal to

sum_(n=1)^(1023)log_(2)(1+(1)/(n)) is equal to

Let f(n)=[(1)/(2)+(n)/(100)] where I 1 denotes the greatest integer function,then the value of sum_(n=1)^(151)f(n) is

If 2log_(8)N = p, log_(2)N = q and q - p = 4 then the value of N is

Let f(n)=[(1)/(2)+(n)/(100)] where [x] denote the integral part of x. Then the value of sum_(n=1)^(100)f(n) is

VK JAISWAL-LOGARITHMS -Exercise-5 : Subjective Type Problems
  1. Let n in N, f(n)={(log(8)n" if "log(8)n " is integer"),(0" ...

    Text Solution

    |

  2. The number N=6^(log(10)40). 5^(log(10)36) is a natural number ,Then su...

    Text Solution

    |

  3. The minimum value of 'c' such that log(b)(a^(log(2)b))=log(a)(b^(log(2...

    Text Solution

    |

  4. How many positive integers b have the property that log(b)729 is a pos...

    Text Solution

    |

  5. The number of negative integral values of x satisfying the inequality ...

    Text Solution

    |

  6. (6)/(5)a^((log(a)x)(log(10)a)(log(a)5))-3^(log(10)((x)/(10)))=9^(log(1...

    Text Solution

    |

  7. If log(5)((a+b)/(3))=(log(5)a+log(5)b)/(2),"then" (a^(4)+b^(4))/(a^(2...

    Text Solution

    |

  8. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

    Text Solution

    |

  9. The number of real values of x satisfying the equation log(10) sqrt(...

    Text Solution

    |

  10. The ordered pair (x,y) satisfying the equation x^(2)=1+6 log(4)y and...

    Text Solution

    |

  11. If log(7)log(7) sqrt(7sqrt(7sqrt(7)))=1-a log(7)2 and log(15)log(15) s...

    Text Solution

    |

  12. The number of ordered pair(s) of (x, y) satisfying the equations log...

    Text Solution

    |

  13. If log(b)n=2 and log(n)(2b)=2, then nb=

    Text Solution

    |

  14. If log(y) x + log(x) y = 2, x^(2)+y = 12 , then the value of xy is

    Text Solution

    |

  15. If x, y satisfy the equation, y^(x)=x^(y) and x=2y, then x^(2)+y^(2)=

    Text Solution

    |

  16. Find the number of real values of x satisfying the equation. log(2)(...

    Text Solution

    |

  17. If x(1), x(2)(x(1) gt x(2)) are the two solutions of the equation 3^...

    Text Solution

    |

  18. Find the number or real values of x satisfying the equation 9^(2log(9)...

    Text Solution

    |

  19. If log(16)(log(root(4)(3))(log(root(3)(5))(x)))=(1)/(2), find x.

    Text Solution

    |

  20. The value [(1)/(6)((2log(10)(1728))/(1+(1)/(2)log(10)(0.36)+(1)/(3)log...

    Text Solution

    |