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19 October, 11:04

Find the value of x if (2/3) ^x (3/2) ^2x = 27/8

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  1. 19 October, 14:15
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    Answer: x=3

    (2/3) ^x (3/2) ^2x = 27/8

    (3/2) ^-x (3/2) ^2x = 27/8

    (3/2) ^-x+2x = 27/8

    (3/2) ^x = 27/8

    (3/2) ^x = 3^3/2^3

    (3/2) ^x = (3/2) ^3

    x=3
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