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Solve the equation 8x^(1)/(3) − 3 = 1 for x.

April 20, 2026Mathematics

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Answer

x = \frac{1}{8}

3 steps

Add 3 to both sides of the equation.
$8x^{\frac{1}{3}} - 3 + 3 = 1 + 3$ $8x^{\frac{1}{3}} = 4$
Divide both sides by 8.
$\frac{8x^{\frac{1}{3}}}{8} = \frac{4}{8}$ $x^{\frac{1}{3}} = \frac{1}{2}$
Cube both sides of the equation to solve for $x$ .
$(x^{\frac{1}{3}})^3 = \left(\frac{1}{2}\right)^3$ $x = \frac{1^3}{2^3}$ $x = \frac{1}{8}$

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