The graph shows the relationship between log10P\log_{10}Plog10P and log10Q\log_{10}Qlog10Q.

Show that P P\,P and Q Q\,Q can be connected by the equation P=aQbP = aQ^bP=aQb where a a\,a and b b\,b are constants.
Practise Edexcel AS Level Maths Exponentials and Logarithms with exam-style questions for AS Level Maths. 41 questions 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, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.