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Determine the values of $A$ and $p$ correct to $2$ significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
The variables $x$ and $y$ obey $y = A e^{p(x-1)}$, with $A$ and $p$ as constants. The graph of $\ln y$ plotted against $x$ is a straight line that goes through the points $(2, 1.60)$ and $(5, 2.92)$, as the diagram indicates.