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 $n\ln x + \ln y = \ln C$

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