## College Algebra 7th Edition

$-1$
Subtract 8 to both sides of the equation to obtain: $(x-1)^3=-8$ Write $-8$ as $(-2)^3$ to obtain: $(x-1)^3=(-2)^3$ Take the cube root of both sides: $x-1 = \sqrt[3]{(-2)^3} \\x-1 = -2$ Add $1$ to both sides of the equation: $x=-2+1 \\x=-1$ Thus, the solution to the given equation is $-1$.