Algebra Examples

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

Step 1

Subtract $8$ from both sides of the equation.

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

Step 2

Simplify each term.

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Step 2.1

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

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

Step 2.2

One to any power is one.

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$