Write as a Set of Linear Factors (1/2)^x=8

${(\frac{1}{2})}^{x} = 8$

Step 1

Subtract $8$ from both sides of the equation.

${(\frac{1}{2})}^{x} - 8 = 0$

Step 2

Simplify each term.

Apply the product rule to $\frac{1}{2}$ .

$\frac{1^{x}}{2^{x}} - 8 = 0$

One to any power is one.

$\frac{1}{2^{x}} - 8 = 0$