Algebra 102

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9^x=1/3^3 Please Help

  • Algebra 102 -

    set everything as powers of 3:

    (3^2)^x = 3^(-3)
    3^2x = 3^(-3)
    since powers equal (or, take log base 3 of both sides),

    2x = -3
    x = -3/2

    check:

    9^(-3/2) = 1/9^(3/2) = 1/3^3

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