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.
62 exam-style questions on AQA A Level Maths 1.9 F: Exponentials and logarithms, covering 1.9.1 Exponential functions and their graphs, 1.9.2 Gradient of e^kx (A-level only), 1.9.3 Logarithms as inverse functions, 1.9.4 Laws of logarithms, 1.9.5 Solving exponential equations, 1.9.6 Logarithmic graphs to estimate parameters (A-level only), and 1.9.7 Exponential growth and decay. Each one has a worked solution and a mark scheme showing where the marks go.