Home
Class 12
MATHS
The value of (0*16)^(log(2*5)((1)/(3)+(1...

The value of `(0*16)^(log_(2*5)((1)/(3)+(1)/(3^(2))+(1)/(3^(3))+....oo))` is

A

2

B

3

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 2 (TRUE AND FALSE) |2 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 2 (FILL IN THE BLANKS) |3 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 1 (FILL IN THE BLANKS) |4 Videos

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

Value of (0.36)^(log_(0.25))((1)/(3)+(1)/(3^(2))+(1)/(3^(3))+....oo)=

The value of (0.16)^("log"_(0.25)((1)/(3) + (1)/(3^(2)) + (1)/(3^(3)) + …."to" oo)) , is

(0.4)^(-log2.5{(1)/(3)+(1)/(32)+(1)/(3^(3))+...)}

the value of [(0.16)^(log_(0.25)((1)/(3)+(1)/(32)+(1)/(3^(3))+...............+oo)]^((1)/(2))) is

Value of y=(0.64)^((log_(2055))((1)/(3)+(1)/(3^(2))+(1)/(33)+...up rarr oo))

If the value of (1+(2)/(3)+(6)/(3^(2))+(10)/(3^(3))+...."upto "oo)^(log_((0.25))((1)/(3)+(1)/(3^(2))+(1)/(3^(3))+....."upto "oo) is l , then l^(2) is equal to _______.

The value of [(0.16)^(log_(2.5)(1/3+1/3^2+1/3^3+….+oo))]^(1/2) is

The value of the sum (1)/(3^(2)+1)+(1)/(4^(2)+2)+(1)/(5^(2)+3)+...oo is equal

The sum of (1)/(2)+(1)/(3)*((1)/(2^(3)))+(1)/(5)*((1)/(2^(5)))+....oo is

The value of 3+(1)/(3+(1)/(3+(1)/(3+...*oo)))

ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. If exp. {(sin^2x+sin^4x+sin^6x+…inf.) In2} satisfies the equation x^2-...

    Text Solution

    |

  2. The value of 0. 2^(logsqrt(5)1/4+1/8+1/(16)+) is 4 b. log4 c. log2 d....

    Text Solution

    |

  3. The value of (0*16)^(log(2*5)((1)/(3)+(1)/(3^(2))+(1)/(3^(3))+....oo))...

    Text Solution

    |

  4. If the sum of an infinitely decreasing G.P. is 3, and the sum of the s...

    Text Solution

    |

  5. The sum of an infinite geometric progression (G.P.) is 2 and the sum o...

    Text Solution

    |

  6. Consider an infinite geometric series with first term a and common rat...

    Text Solution

    |

  7. If S(lambda) = sum(r = 0)^(oo) (1)/(lambda^(r)),"then" sum(lambda = 1)...

    Text Solution

    |

  8. If a,b,c are in A.P., then 2^(ax+1),2^(bx+1),2^(cx+1), x in R, are in

    Text Solution

    |

  9. If a,b,c are in A.P. as well as in G.P. then

    Text Solution

    |

  10. If a,b,c are in G.P., then show that : a(b^2+c^2)=c(a^2+b^2)

    Text Solution

    |

  11. If x, y ,z are in G.P. and a^x = b^y = c^z , then :

    Text Solution

    |

  12. log(3) 2, log(6) 2, log(12)2 are in

    Text Solution

    |

  13. If a, b, c are in G.P., then log(a) 10, log(b) 10, log(c) 10 are in

    Text Solution

    |

  14. If (a + be^(x))/(a-be^(x)) = (b + ce^(x))/(b-ce^(x)) = (c+de^(x))/(c -...

    Text Solution

    |

  15. If a,b,c are in A.P., a,x,b are in G.P. and b,y,c are in G.P. then a^(...

    Text Solution

    |

  16. If x, y, z are in G.P. and tan^(-1) x, tan^(-1)y and tan^(-1)z are in ...

    Text Solution

    |

  17. If a, b, c are in A.P. and b-a, c-b, a are in G.P. then a:b:c=?

    Text Solution

    |

  18. The sides a, b, c of a triangle ABC are in G.P. such that log a - log ...

    Text Solution

    |

  19. If a, b, c are in G.P. where a, b, c are all (+) ive and "log" (5c)/(a...

    Text Solution

    |

  20. If A and G between two + ive numbers a and b are connected by the rela...

    Text Solution

    |