Jonathan is investigating the spread of a virus measured by the number of daily recorded cases $N$ . He believes $N = Ae^{kt}$ .

Show that $ln⁡N=kt+ln⁡A\ln N = kt + \ln A$

Plot $\ln N\,$ against $t\,$ for this data:

$t$	8	11	18
$N$	12	24	90

Using the graph, estimate the value of $A\,$ and the value of $k$ .

Jonathan is investigating the spread of a virus measured by the number of daily recorded cases $N$ . He believes $N = Ae^{kt}$ .

Show that $ln⁡N=kt+ln⁡A\ln N = kt + \ln A$

Plot $\ln N\,$ against $t\,$ for this data:

$t$	8	11	18
$N$	12	24	90

Using the graph, estimate the value of $A\,$ and the value of $k$ .

Exponentials and Logarithms

Exponentials and Logarithms Questions