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

Logarithmic and exponential functions — practice question

The variables $x$ and $y$ are linked by $y = A(b^x)$, where $A$ and $b$ are constants. A graph of $\ln y$ against $x$ is a straight line that passes through $(0, 2.14)$ 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: This can be written as $\ln y = \ln A + x \ln b$

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