The line L L\,L is a tangent to the curve y=e14x\displaystyle y = e^{\frac{1}{4}x}y=e41x at the point where x=4x = 4x=4. Show that L L\,L passes through the origin, giving the equation of L L\,L in exact form.
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.