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1.6 Exponentials and Logarithms

1.6 Exponentials and Logarithms

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Question 32

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.

a.

Express ln⁡N \ln N\,lnN in terms of ttt

[2]
b.

Plot ln⁡N \ln N\,lnN against t t\,t for this data:

ttt81118
NNN122490

[2]
c.

Using the graph, estimate the value of A A\,A and the value of kkk.

[4]
Markscheme

1.6 Exponentials and Logarithms Questions

  1. A Level
  2. /Maths
  3. /1.6 Exponentials and Logarithms

104 exam-style questions on OCR A Level Maths 1.6 Exponentials and Logarithms, covering 1.6.1 Properties of the exponential function, 1.6.2 Gradient of e^(kx) (A-level only), 1.6.3 Definition of the logarithm, 1.6.4 The natural logarithm function, 1.6.5 ln x as inverse of e^x, 1.6.6 Laws of logarithms, 1.6.7 Equations involving exponentials, 1.6.8 Reduction to linear form, and 1.6.9 Modelling using exponential functions. Each one has a worked solution and a mark scheme showing where the marks go.

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