What is the solution set of ${{3 x - 2)}^{\frac{3}{5}} = 8$ ${3x-2)^(3/5) = 8$ ?

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What is the solution set of ${{3 x - 2)}^{\frac{3}{5}} = 8$ ${3x-2)^(3/5) = 8$ ?

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Answer 1 · 2015-08-19T16:01:49

$x = \frac{34}{3}$ $x = 34/3$

Explanation:

${(3 x - 2)}^{\frac{3}{5}} = 8$ $(3x-2)^(3/5) = 8$
$3 x = 2 + 8^{\frac{5}{3}}$ $3x = 2 + 8^(5/3)$
$x = \frac{2}{3} (1 + 2^{4}) = \frac{34}{3}$ $x = 2/3(1+2^4) = 34/3$

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What is the solution set of ${{3 x - 2)}^{\frac{3}{5}} = 8$ ${3x-2)^(3/5) = 8$ ?

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What is the solution set of ${{3 x - 2)}^{\frac{3}{5}} = 8$ ${3x-2)^(3/5) = 8$ ?