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Arithmetic Aptitude :: Logarithm

  1. Find the logarithm of 1/256 to the base 2√2.

  2. A.
    16
    B.
    13/5
    C.
    -16/3
    D.
    12

  3. If loga [1/36] = -2/3, find the value of a.

  4. A.
    6
    B.
    8
    C.
    9
    D.
    216

  5. Find the value of x

    Log4(log8 64) = log5 x

  6. A.
    2
    B.
    6
    C.
    5
    D.
    √5

  7. If (log3 x)(logx 2x)(log2x y) = logx x2, find y.

  8. A.
    6
    B.
    9
    C.
    5
    D.
    7

  9. Add the equation x = 1 + loga bc, y = 1 + logb ca and z = 1 + logc ab. Find the value of Apti Logarithm.

  10. A.
    xyz = xy + yz + zx
    B.
    X2yz = xyz + yx + 1
    C.
    (xz + 1)2 = xy - yz - zx
    D.
    (xz + y) = xy + yz + zx

  11. Find the characteristics of the logarithms of i) 5631, ii) 5.678, iii) 56.23.

  12. A.
    3, 1, 5
    B.
    3, 0, 1
    C.
    6, 5, 9
    D.
    8, 7, 6

  13. If log 2 = 0.30103, log 3 = 0.47712, the number of digits in 620 is

  14. A.
    8
    B.
    12
    C.
    16
    D.
    20

  15. The logarithm of 0.0001 to the base 0.001 is equal to

  16. A.
    4/3
    B.
    5/3
    C.
    7/3
    D.
    2/3

  17. If logb x = ͞5.1342618, then the value of log10(x(1/4)) will be

  18. A.
    ͞1.2835655
    B.
    ͞2.7164345
    C.
    ͞2.7835655
    D.
    ͞3.2164345

  19. If Apti Logarithmlog (11 + 4√7) = log (2 + x), what is the value of x?

  20. A.
    √7
    B.
    11
    C.
    4
    D.
    2