Step 1 :Step 1: Solve for x: \( 2 \sin (2 x)=\sqrt{3} \)
Step 2 :Step 2: Divide both sides by 2: \( \sin(2x) = \frac{\sqrt{3}}{2} \)
Step 3 :Step 3: Find x: \( 2x = \frac{\pi}{3} \) or \( 2x = \frac{5\pi}{3} \)