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    Subject

    Quantitative Aptitude

    Topic

    Exponent & Logarithm

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

    ক)
    -8/3
    খ)
    -16/3
    গ)
    -8
    ঘ)
    -4

    Explanation

    ধরি, log 2√2 (1/256) = x বা, (2√2) x = 1/256 বা, (2 1 ⋅ 2 1/2 ) x = 1/2 8 বা, (2 3/2 ) x = 2 -8 বা, 2 (3/2)x = 2 -8 বা, (3/2)x = -8 বা, 3x = -16 বা, x = -16/3

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