Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
The variables $x$ and $y$ are related by the equation $y = Ax^{-2p}$, where $A$ and $p$ are constants. The graph of $\ln y$ plotted against $\ln x$ is a straight line passing through the points $(-0.68, 3.02)$ and $(1.07, -1.53)$, as illustrated in the diagram.
(main)[5]
Find the values for $A$ and $p$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply the relation $\ln y = \ln A - 2p\ln x$” …