A curve has the equation y=e3xy = e^{3x}y=e3x. At point P P\,P on the curve the tangent is parallel to the line 8x−9y+3=08x - 9y + 3 = 08x−9y+3=0. Find the exact coordinates of PPP.
277 exam-style questions on Edexcel A Level Maths Exponentials and Logarithms, covering 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data. Each one has a worked solution and a mark scheme showing where the marks go.