What is the answer to 5(2x-1)^{2/3}=125 ?

The answer to 5(2x-1)^{2/3}=125 is x=63,x=-62

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5(2x-1)^{2/3}=125

5 (2 x - 1)^{\frac{2}{3}} = 125

x = 63, x = - 62

Solution steps

5 (2 x - 1)^{\frac{2}{3}} = 125

Divide both sides by

5

(2 x - 1)^{\frac{2}{3}} = 25

Take both sides of the equation to the power of

3 : (2 x - 1)^{2} = 15625

(2 x - 1)^{2} = 15625

Solve

(2 x - 1)^{2} = 15625 : x = 63, x = - 62

x = 63, x = - 62

Verify Solutions:

x = 63

True

, x = - 62

True

The solutions are

x = 63, x = - 62

x - x - 9 = 1

4 x = 2 2 x + 202

5 x - 4 = x

2 x + 2 = 7 x + 2

x^{2} - 3 = 2 x

What is the answer to 5(2x-1)^{2/3}=125 ?
The answer to 5(2x-1)^{2/3}=125 is x=63,x=-62
Solve for x: 5(2x-1)^{2/3}=125
The solution is x=63,x=-62