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22 May, 01:43

If x^ (3/2) = 64, find the value of 4x^ (-3/4)

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  1. 22 May, 01:50
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    1/2

    Step-by-step explanation:

    x∧ (3/2) = 64 = 8²

    (3/2) Log₈ x = 2 Log₈ 8

    Log₈ x = 4/3

    x = 8∧ (4/3)

    Therefore

    4 * x∧ (-3/4) = 4 * 8∧ (-1) = 4/8 = 1/2 = 0.5
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