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1.5 Exponentials and logarithms

1.5 Exponentials and logarithms

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Question 8
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The population of bacteria is being measured. The equation log⁡10P=0.5t+1.398\log_{10}P = 0.5t + 1.398log10​P=0.5t+1.398 is used to model the population of bacteria, PPP, t t\,t hours after it was first recorded.

a.

Show that P=abtP = ab^tP=abt, where a a\,a and b b\,b are constants to be found. Give the value of a a\,a to the nearest whole number and give the value of b b\,b to 3 significant figures.

[4]
b.

Interpret the meaning of the constant a a\,a in this model.

[1]
c.

Find the population of the bacteria after 10 hours. Give your answer to 2 significant figures.

[2]
Markscheme

1.5 Exponentials and logarithms Questions

  1. A Level
  2. /Maths
  3. /1.5 Exponentials and logarithms

77 exam-style questions on CCEA A Level Maths 1.5 Exponentials and logarithms, covering 1.5.1 Exponentials and logarithms, 1.5.2 Exponentials and logarithms, 1.5.3 Exponentials and logarithms, 1.5.4 Exponentials and logarithms, 1.5.5 Exponentials and logarithms, 1.5.6 Exponentials and logarithms, 1.5.7 Exponentials and logarithms, and 1.5.8 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.

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