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Use a plot of $\ln y$ against $x$ for the four data pairs, together with a suitable straight line, to estimate $C$ and $a$. State the answers 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 variables $x$ and $y$ obey an equation of the form $y = C(a^x)$, with $C$ and $a$ constant. An experiment gave four matched pairs of $x$ and $y$ values. The table shows the corresponding values of $x$ and $\ln y$:
$x = 0.9,\ 1.6,\ 2.4,\ 3.2$
$\ln y = 1.7,\ 1.9,\ 2.3,\ 2.6$.