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Papers 1 and 2 · Pure6.6 Exponentials and logarithms

Question 1 · 5 marks

  • Calculator allowed
Spec and skills
  • Paper scope: Pure 1/2
  • Paper scope: Paper 3 Statistics
  • Spec P6.6
  • Spec S2.2
  • Original practice question
The volume V cm3V\ \mathrm{cm^3} of a container of height hh cm is modelled by V=ahnV = ah^n, where aa and nn are constants. The graph of log⁡10V\log_{10} V against log⁡10h\log_{10} h is a straight line passing through the two points shown.
(a)
Find the value of nn and the value of aa, giving aa to 3 significant figures.
3 marks
n=n =a=a =