Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

The variables $x$ and $y$ are related by $y^3 = A e^{2x}$, with $A$ constant. A plot of $\ln y$ against $x$ is linear.
(i)[2]

Find the gradient of the straight line.

(ii)[2]

Since the line meets the $\ln y$ axis at the point where $\ln y = 0.5$, find the value of $A$ correct to $2$ decimal places.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or imply that $3\ln y = \ln A + 2x$

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