Answer:
x = 65
Step-by-step explanation:
To solve the equation, we write it in radical form:
[tex]5\, \sqrt[3]{x-1} = 20[/tex]
Then, we divide both sides by 5 to isolate the root:
[tex]\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4[/tex]
and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:
[tex]x-1=4^3\\x-1=64[/tex]
now we add 1 to both sides to isolate x:
x = 65
