Algebra Examples

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

Step 1

Create equivalent expressions in the equation that all have equal bases.

${(\frac{1}{2})}^{x} < {(\frac{1}{2})}^{3}$

Step 2

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

$x < 3$

Step 3

The solution consists of all of the true intervals.

$x > 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 3$

Interval Notation:

$(3, \infty)$

Step 5