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3 November, 09:09

If log (base4) x=2.5 and log (base Y) 125=-3/2, find the numerical value of x/y, in simplest form.

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  1. 3 November, 09:58
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    X = (2^2) ^ (2.5)

    x = 2^ (2 * 2.5)

    x = 2^5

    x = 32

    y^ (-3/2) = 125

    y^ (-3) = 125^2

    y^ (-3) = (5^3) ^2

    y^ (-3) = (5^2) ^3

    y^ (-3) = 25^3

    y = 25^ (-1)

    y = 1/25

    x/y = >

    32 / (1/25) = >

    32 * 25 = >

    800 is the simplest form of above
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