What is the answer to (5x+3)^{5/7}=32 ?

The answer to (5x+3)^{5/7}=32 is x=25

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(5x+3)^{5/7}=32

(5 x + 3)^{\frac{5}{7}} = 32

x = 25

Solution steps

(5 x + 3)^{\frac{5}{7}} = 32

Take both sides of the equation to the power of

\frac{7}{5} : (5 x + 3) = 128

(5 x + 3) = 128

Solve

(5 x + 3) = 128 : x = 25

x = 25

Verify Solutions:

x = 25

True

The solution is

x = 25

x + 5 + 5 = 5

x + 3 = 2 x + 8 - 1

8 x + 1 + 3 = 19

5 = (- 1 - 2)^{2} + (- 2 - y)^{2}

8 (2 x + 9)^{\frac{1}{4}} = 24