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

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

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    Answer : Option C

    Explanation :

    Let log2√2 [1/256] = x

    We know that loga y = x is similar to ax = y

    So, we can write it as [1/256] = (2√2) x

    Or, (2√2) x = [1/28]

    Or, [21 * 21/2]x = 1/28

    Or, 23x/2 = 2-8

    Therefore, 3x/2 = -8

    Hence, x = (-8 * 2)/ 3 = -16/3

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