Home
Class 12
MATHS
The value of 0. 2^(logsqrt(5)1/4+1/8+1/(...

The value of `0. 2^(logsqrt(5)1/4+1/8+1/(16)+)` is `4` b. `log4` c. `log2` d. none of these

A

4

B

log 4

C

log 2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

The value of 0.2^(log sqrt(5)(1)/(4)+(1)/(8)+(1)/(16)+cdots) is 4 b.log4 c.log 2 d.none of these

The value of the log_(2)16 is a.(1)/(8) b.8 c.4 d.16

8^(0.4)xx4^(1.6)xx2^(1.6)=?48b.64c.52d.76e. none of these

If log_(10)2=0.3010 and log_(10)7=0.8451 , then the value of log_(10) 2.8 is a. 0. 4471 b. 1. 4471 c. 2. 4471 d. none of these

The value of int_0^1(8log(1+x))/(1+x^2)dx is a. pilog2 b. \ pi/8log2 c. \ pi/2log2 d. log2

-log_8 log_4 log_2 16=

The value of log_(10)(.0001) is a.(1)/(4) b.-(1)/(4) c.-4 d.4

If p>1 and q>1 are such that log(p+q)=log p+log q ,then the value of log(p-1)+log(q-1) is equal to (a)0(b)1 (c) 2(d) none of these

ML KHANNA-PROGRESSIONS -PROBLEM SET - 2 (MULTIPLE CHOICE QUESTIONS)
  1. If ||a| lt 1 "and " |b| lt 1 then the sum of the series 1+(1+a)b+(1+a+...

    Text Solution

    |

  2. If exp. {(sin^2x+sin^4x+sin^6x+…inf.) In2} satisfies the equation x^2-...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |