Jonathan is investigating the spread of a virus measured by the number of daily recorded cases NNN. He believes N=AektN = Ae^{kt}N=Aekt.
Express lnN \ln N\,lnN in terms of ttt
Plot lnN \ln N\,lnN against t t\,t for this data:
| ttt | 8 | 11 | 18 |
|---|---|---|---|
| NNN | 12 | 24 | 90 |

Using the graph, estimate the value of A A\,A and the value of kkk.
Practise Edexcel AS Level Maths Exponentials and Logarithms with exam-style questions for AS Level Maths. 41 questions covering 14.1 Exponential Functions, 14.2 y = e^x, 14.3 Exponential Modelling, 14.4 Logarithms, 14.5 Laws of Logarithms, 14.6 Solving Equations using Logarithms, 14.7 Working with Natural Logarithms, and 14.8 Logarithms and Non-Linear Data, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.