Algebra Examples

$2^{x} \geq 32$

Step 1

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

$2^{x} \geq 2^{5}$

Step 2

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

$x \geq 5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \geq 5$

Interval Notation:

$[5, \infty)$

Step 4