What is the answer to 2(x-4)^{3/2}=54 ?

The answer to 2(x-4)^{3/2}=54 is x=13

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2(x-4)^{3/2}=54

2 (x - 4)^{\frac{3}{2}} = 54

x = 13

Solution steps

2 (x - 4)^{\frac{3}{2}} = 54

Divide both sides by

2

(x - 4)^{\frac{3}{2}} = 27

Take both sides of the equation to the power of

2 : (x - 4)^{3} = 729

(x - 4)^{3} = 729

Solve

(x - 4)^{3} = 729 : x = 13

x = 13

Verify Solutions:

x = 13

True

The solution is

x = 13

3 x + 5 = 6 x + 34

- 7 = 2 b - 15 - b

x + 3 = x + 3

10 = (- 3 - 5)^{2} + (6 - y)^{2}