OCR MEI C2 2015 June — Question 8

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2015
SessionJune
TopicExponential Equations & Modelling

8 Fig. 8 shows the graph of \(\log _ { 10 } y\) against \(\log _ { 10 } x\). It is a straight line passing through the points \(( 2,8 )\) and \(( 0,2 )\). \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{5c7ac296-a911-451b-ad18-5ade3ac23e74-2_460_634_1868_717} \captionsetup{labelformat=empty} \caption{Fig. 8}
\end{figure} Find the equation relating \(\log _ { 10 } y\) and \(\log _ { 10 } x\) and hence find the equation relating \(y\) and \(x\).