Answer
$x = \dfrac{3}{2}$
Work Step by Step
To solve the given equation, make the two sides have the same base.
Note that $4=2^2$ so the given equation is equivalent to:
$2^{2x-1}=2^2$
Use the rule $a^m=a^n \longrightarrow m=n$ to obtain:
$2x-1 = 2$
Add 1 to both sides of the equation to obtain:
$2x=2+1
\\2x=3$
Divide 2 to both sides of the equation to obtain:
$x = \dfrac{3}{2}$
