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

Logarithmic and exponential functions — practice question

The variables $x$ and $y$ are related by the equation $y = A(b^x)$, where $A$ and $b$ are constants. The graph of $\ln y$ plotted against $x$ forms a straight line and passes through the points $(0, 2.14)$ and $(5, 4.49)$, as shown in the diagram.
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Determine the values of $A$ and $b$, correct to 1 decimal place.

Worked solution & mark scheme

This 5-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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