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

The answer to (x+3)^{5/3}=32 is x=5

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(x+3)^{5/3}=32

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

x = 5

Solution steps

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

Take both sides of the equation to the power of

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

(x + 3) = 8

Solve

(x + 3) = 8 : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

7 x + 4 = 7 + 4

x + 3 = 2 x - 7

3 (x + 8)^{\frac{2}{3}} = 27

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