What is the answer to (x-2)^{3/4}=1 ?

The answer to (x-2)^{3/4}=1 is x=3

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(x-2)^{3/4}=1

(x - 2)^{\frac{3}{4}} = 1

x = 3

Solution steps

(x - 2)^{\frac{3}{4}} = 1

Take both sides of the equation to the power of

4 : (x - 2)^{3} = 1

(x - 2)^{3} = 1

Solve

(x - 2)^{3} = 1 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

0 = - \frac{2}{3 x ^{\frac{1}{3}}}

x, 1 - \frac{5}{120 - x} = 0

x + 2 = (8 - 3 x)

\frac{2 x + 5}{3} = 5

5 + x^{2} + 5 - x^{2} = 4