Algebra Examples

$4^{x} > 2^{x}$

Step 1

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

$2^{2 x} > 2^{x}$

Step 2

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

$2 x > x$

Step 3

Move all terms containing $x$ to the left side of the inequality.

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Step 3.1

Subtract $x$ from both sides of the inequality.

$2 x - x > 0$

Step 3.2

Subtract $x$ from $2 x$ .

$x > 0$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 0$

Interval Notation:

$(0, \infty)$

Step 5