Moderate -0.8 This is a straightforward logarithm application requiring only taking logs of both sides and rearranging to find x/y. It's a standard textbook exercise with a single clear method and minimal steps, making it easier than average but not trivial since it requires correct manipulation of logarithmic properties.
1 Given that $( 1.25 ) ^ { x } = ( 2.5 ) ^ { y }$, use logarithms to find the value of $\frac { x } { y }$ correct to 3 significant figures.
\hfill \mbox{\textit{CAIE P2 2009 Q1 [3]}}