Graph 2^(2x-1)<4

$2^{2 x - 1} < 4$

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

$2^{2 x - 1} < 2^{2}$

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

$2 x - 1 < 2$

Solve for $x$ .

Move all terms not containing $x$ to the right side of the inequality.

Add $1$ to both sides of the inequality.

$2 x < 2 + 1$

Add $2$ and $1$ .

$2 x < 3$

Divide each term in $2 x < 3$ by $2$ and simplify.

Divide each term in $2 x < 3$ by $2$ .

$\frac{2 x}{2} < \frac{3}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} < \frac{3}{2}$

Divide $x$ by $1$ .

$x < \frac{3}{2}$