Verify that the exact solution to the equation (2x)2=2(3x)(2^x)^2 = 2(3^x)(2x)2=2(3x) is x=ln2ln(4/3)\displaystyle x = \frac{\ln 2}{\ln(4/3)}x=ln(4/3)ln2.
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.