The line L L\,L is a tangent to the curve y=e12x\displaystyle y = e^{\frac{1}{2}x}y=e21x at the point where x=2x = 2x=2. Show that L L\,L passes through the origin.
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.