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24 December, 09:41

Identify the solution set of 3 ln 4 = 2 ln x.

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  1. 24 December, 12:21
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    x=8

    Step-by-step explanation:

    3 ln 4 = 2 ln x.

    We know that a ln b = ln b^a

    ln 4^3 = ln x^2.

    Raise each side to the base e

    e^ln 4^3 = e^ln x^2

    4^3 = x^2

    64 = x^2

    Take the square root of each side

    ±sqrt (64) = sqrt (x^2)

    ±8 = x

    But x cannot be negative

    x=8
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