Answer:
x = 65
Explanation:
To solve the equation, we write it in radical form:
![5\, \sqrt[3]{x-1} = 20](https://img.qammunity.org/2022/formulas/mathematics/college/jdyvq1185xicahc5w431s102zr6ecc58gw.png)
Then, we divide both sides by 5 to isolate the root:
![\sqrt[3]{x-1} = (20)/(5) \\\sqrt[3]{x-1} =4](https://img.qammunity.org/2022/formulas/mathematics/college/crtablxx6tbosvqqoibufi56dvmmfvtyaw.png)
and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:

now we add 1 to both sides to isolate x:
x = 65