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

Logarithmic and exponential functions — practice question

The variables $x$ and $y$ satisfy $y = ab^x$, where $a$ and $b$ are constants. The diagram gives the outcome of plotting $\ln y$ against $x$ for two ordered pairs of $x$ and $y$. These points have coordinates $(1, 3.7)$ and $(2.2, 6.46)$.
(main)[4]

Find the values of $a$ and $b$ from this information.

Worked solution & mark scheme

This 4-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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