If F(x) = log 4 3x, find F -1(x). A.4^y=3x B.4^x=3y C.4^3y=x

Question

If F(x) = log 4 3x, find F -1(x). A.4^y=3x B.4^x=3y C.4^3y=x

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Eloise 2 weeks 2021-10-04T07:39:55+00:00 1 Answer 0

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    2021-10-04T07:41:18+00:00

    Answer:

    {f}^{ - 1} (x) =  \frac{{4}^{x} }{3}

    Step-by-step explanation:

    The given logarithmic function is

    f(x) =  log_{4}(3x)

    Let y=f(x)

    This gives us:

    y =  log_{4}(3x)

    We interchange x and y to get:

    x =  log_{4}(3y)

     {4}^{x} =  3y

    y =   \frac{{4}^{x} }{3}

    Therefore the inverse is

     {f}^{ - 1} (x) =  \frac{{4}^{x} }{3}

    Based on the possible answers, B is most closed to the inverse.

    The correct answer is B

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45:7+7-4:2-5:5*4+35:2 =? ( )