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Using a plot of $\ln y$ against $x$ for the four pairs, together with an appropriate straight line, estimate $C$ and $a$. State your answers correct to 2 significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
It is thought that the two variable quantities $x$ and $y$ obey an equation of the form $y = C a^x$, with $C$ and $a$ as constants. An experiment gave four pairs of $x$ and $y$ values. The table below shows the corresponding values of $x$ and $\nln y$.
The values are:
$x = 0.9, 1.6, 2.4, 3.2$
$\ln y = 1.7, 1.9, 2.3, 2.6$.