Answer:
[tex]x=\sqrt[3]{2}+4[/tex]
Step-by-step explanation:
To "undo" this equation, we need to solve for x.
We begin with the equation
[tex]2=(x-4)^3[/tex]
To remove the cube, we need to take the cubic root of both sides
[tex]\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4[/tex]
And the last step to solve for x will be to add 4 to each side
[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]
And there is our value for x
