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1.6 Exponentials and logarithms

1.6 Exponentials and logarithms

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Question 48

The population of bacteria, PPP, is modelled t t\,t hours after it was first recorded by the relationship log⁡10P=0.5t+1.398\log_{10} P = 0.5t + 1.398log10​P=0.5t+1.398

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 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, giving your answer to 2 significant figures.

[2]
Markscheme

1.6 Exponentials and logarithms Questions

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

104 exam-style questions on WJEC A Level Maths 1.6 Exponentials and logarithms, covering 1.6.1 Exponentials and logarithms, 1.6.2 Exponentials and logarithms, 1.6.3 Exponentials and logarithms, 1.6.4 Exponentials and logarithms, 1.6.5 Exponentials and logarithms, 1.6.6 Exponentials and logarithms, 1.6.7 Exponentials and logarithms, 1.6.8 Exponentials and logarithms, and 1.6.9 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.

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