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 $x^n y = C$, where $n$ and $C$ are constants. For $x = 1.10$, $y = 5.20$, and for $x = 3.20$, $y = 1.05$.
(i)[5]
Determine the values of $n$ and $C$.
(ii)[1]
Explain why plotting $\ln y$ against $\ln x$ gives a straight line.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Write down or deduce $n\ln x + \ln y = \ln C$” …