What is the answer to 3(x-1)^{1/3}=1 ?

The answer to 3(x-1)^{1/3}=1 is x= 28/27

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3(x-1)^{1/3}=1

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

x = \frac{28}{27}

Decimal Notation

x = 1.03703 \dots

Solution steps

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

Divide both sides by

3

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

Take both sides of the equation to the power of

3 : x - 1 = \frac{1}{27}

x - 1 = \frac{1}{27}

Solve

x - 1 = \frac{1}{27} : x = \frac{28}{27}

x = \frac{28}{27}

Verify Solutions:

x = \frac{28}{27}

True

The solution is

x = \frac{28}{27}

x - 8 = 2

2 x + 6 + 4 = x + 3

\frac{x ^{2} + 2 x + 1}{2} = 0

x, 2 x + 3 y = 5

2 x + x + 2 = 2