A curve has the equation y=e2xy = e^{2x}y=e2x. At point P P\,P on the curve the tangent is parallel to the line 9x−2y+3=09x - 2y + 3 = 09x−2y+3=0. Find the coordinates of P P\,P stating your answer in the form (lnp,q)(\ln p, q)(lnp,q), where p p\,p and q q\,q are rational.
77 exam-style questions on CCEA A Level Maths 1.5 Exponentials and logarithms, covering 1.5.1 Exponentials and logarithms, 1.5.2 Exponentials and logarithms, 1.5.3 Exponentials and logarithms, 1.5.4 Exponentials and logarithms, 1.5.5 Exponentials and logarithms, 1.5.6 Exponentials and logarithms, 1.5.7 Exponentials and logarithms, and 1.5.8 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.