Chapter 6 Rational Exponents and Radical Functions - 6.1 Evaluate nth Roots and Use Rational Exponents - 6.1 Exercises - Skill Practice - Page 418: 53

1,9

Solving the equation by isolating the variable and using radicals, we find: $$\left(x-5\right)^4=256 \\ \text{Therefore:} \\ x-5=\sqrt[4]{256}\rightarrow \quad x=9 \\ \text{AND:} \\ x-5=-\sqrt[4]{256}\rightarrow \quad x=1$$