What is the answer to (x-1)^{5/7}=32 ?

The answer to (x-1)^{5/7}=32 is x=129

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(x-1)^{5/7}=32

(x - 1)^{\frac{5}{7}} = 32

x = 129

Solution steps

(x - 1)^{\frac{5}{7}} = 32

Take both sides of the equation to the power of

\frac{7}{5} : (x - 1) = 128

(x - 1) = 128

Solve

(x - 1) = 128 : x = 129

x = 129

Verify Solutions:

x = 129

True

The solution is

x = 129

x^{0.4} x + 1 = 3 x \cdot x + 1

k^{\frac{3}{2}} = 27

6 x^{2} - 5 x - 2 = 0

5 x^{\frac{3}{4}} = 40

x + 4 x - 4 = 5