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

Logarithmic and exponential functions — practice question

Let $x$ and $y$ be linked by $y = A(b^x)$, with $A$ and $b$ as constants. The plot of $\ln y$ against $x$ is a straight line that passes through the points $(1.4, 0.8)$ and $(2.2, 1.2)$, as the diagram shows.
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Determine the values of $A$ and $b$, correct to $2$ decimal places.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or indicate that $\ln y=\ln A+x\ln b$

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