A physics researcher is investigating the relationship between the intensity of light, yyy, and the distance, xxx, from a specialized laser source. The researcher finds that there is a linear relationship between log10y\log_{10} ylog10y and log10x\log_{10} xlog10x. The line representing this relationship passes through the points (1,7)(1, 7)(1,7) and (4,1)(4, 1)(4,1).
Determine an equation linking log10y\log_{10} ylog10y with log10x\log_{10} xlog10x.
Hence, or otherwise, express yyy in the form pxqpx^qpxq, where ppp and qqq are constants to be found.
42 exam-style questions on Edexcel A Level Maths 1.1 Exponential Models. Each one has a worked solution and a mark scheme showing where the marks go.