A curve has equation y=e2xy = e^{2x}y=e2x
At the point P P\,P on the curve, the tangent is parallel to the line with equation 9x−2y+3=09x - 2y + 3 = 09x−2y+3=0
Find the coordinates of PPP, giving your answer in the form (lnp, q)(\ln p,\, q)(lnp,q), where p p\,p and q q\,q are rational.