Evaluate 3^(2x)>9

$3^{2 x} > 9$

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

$3^{2 x} > 3^{2}$

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

$2 x > 2$

Divide each term in $2 x > 2$ by $2$ and simplify.

Divide each term in $2 x > 2$ by $2$ .

$\frac{2 x}{2} > \frac{2}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} > \frac{2}{2}$

Divide $x$ by $1$ .

$x > \frac{2}{2}$

Simplify the right side.

Divide $2$ by $2$ .

$x > 1$

The result can be shown in multiple forms.

Inequality Form:

$x > 1$

Interval Notation:

$(1, \infty)$