What is the answer to (x-6)^{5/3}=32 ?

The answer to (x-6)^{5/3}=32 is x=14

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(x-6)^{5/3}=32

(x - 6)^{\frac{5}{3}} = 32

x = 14

Solution steps

(x - 6)^{\frac{5}{3}} = 32

Take both sides of the equation to the power of

\frac{3}{5} : (x - 6) = 8

(x - 6) = 8

Solve

(x - 6) = 8 : x = 14

x = 14

Verify Solutions:

x = 14

True

The solution is

x = 14

x - 3 x - 8 = 6

2 = 2 x + 1

x^{- \frac{3}{2}} = \frac{1}{729}

(\frac{x}{1 - x})^{0.4686} = 0.876

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