A curve has the equation y=e2xy = e^{2x}y=e2x. At point P(ln32,94)\displaystyle P\left(\ln \frac{3}{2}, \frac{9}{4}\right)P(ln23,49) on the curve the tangent is parallel to the line kx−2y+3=0kx - 2y + 3 = 0kx−2y+3=0. Find the value of kkk.
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.