Step 1 :\( 2 \sin (2 x)=\sqrt{3} \)
Step 2 :\( \sin (2 x)=\frac{\sqrt{3}}{2} \)
Step 3 :\( 2 x = \frac{\pi}{3}, \frac{2\pi}{3} \)
Step 4 :\( x = \frac{\pi}{6}, \frac{\pi}{3} \)