(a)[2]
Show that the graph of $\ln y$ plotted against $x$ is a straight line.
(b)[3]
For $x = 3.4$, $\ln y = 0.86$ and for $x = 5.7$, $\ln y = 2.56$. Find the value of $A$ and the value of $b$. Give your answers correct to 2 significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
The variables $x$ and $y$ are linked by the equation $Ay = b^x$, where $A$ and $b$ are constants.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply logarithms to both sides to get $\ln A+\ln y=x\ln b$.” …
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