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Math Help - Please solve exponential equation

  1. #1
    Member
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    Please solve exponential equation

    I am going blank on this equation. Please help solve.

    (x + 3)^2/3 = 8

    Thank you
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  2. #2
    MHF Contributor
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    (x +3)^(2/3) = 8

    Clear the fraction exponent, raise both sides to their 3rd powers,

    [(x +3)^(2/3)]^3 = 8^3
    (x +3)^2 = (2^3)^3
    (x +3)^2 = 2^9
    Take the square roots of both sides,
    x +3 = 2^(4.5)
    x = 2^(4.5) -3
    x = (2^4)(sqrt(2)) -3
    x = 16sqrt(2) -3 --------------answer.

    by calculator,
    x = 19.627417
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  3. #3
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    ticbol,

    Thank you so very much.
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