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 $\ln y=\ln a+x\ln b$” …