Home
Class 12
MATHS
If T(r)=(1)/(log(z)4) (where r in N), t...

If `T_(r)=(1)/(log_(z)4)` (where `r in N`), then the value of `sum_(r=1)^(4) T_(r)` is :

A

3

B

4

C

5

D

10

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 T_(r)=(1)/(log_(2^r)4) (where r in N ), then the value of sum_(r=1)^(4) T_(r) is :

The value of sum_(r=1)^(n)(""^(n)P_(r))/(r!) is

What is the value of sum_(r=1)^(n) (P(n, r))/(r!) ?

If sum_(r=1)^(n)T_(r)=(n(n+1)(n+2))/(6), then the value of sum_(r=1)^(oo)((1)/(T_(r))) is equal to

Let T_(r) be the r^(th) term of a sequence, for r=1,2,3,......... If 3T_(r+1)=T_(r) and T_(7)=(1)/(243) then the value of sum_(r=1)^(oo)(T_(r).T_(r+1)) is :

Find he value of sum_(r=1)^(4n+7)backslash i^(r) where,i=sqrt(-1)

The value of sum_(r=1)^(n)log((a^(r))/(b^(r-1)))

If f(n)=sum_(r=1)^(n) r^(4) , then the value of sum_(r=1)^(n) r(n-r)^(3) is equal to

If sum_(r=1)^(n)T_(r)=n(2n^(2)+9n+13); then find the value of sum_(r=1)^(n)sqrt(T_(r))

VK JAISWAL-LOGARITHMS -Exercise-5 : Subjective Type Problems
  1. If T(r)=(1)/(log(z)4) (where r in N), then the value of sum(r=1)^(4) ...

    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

    |