AQA Paper 3 2022 June — Question 7

Exam BoardAQA
ModulePaper 3 (Paper 3)
Year2022
SessionJune
TopicLaws of Logarithms

7
    1. Find the equation of the straight line in the form $$\log _ { 10 } T = a + b \log _ { 10 } d$$ where \(a\) and \(b\) are constants to be found.
      7
  1. (ii) Show that $$T = \mathrm { K } d ^ { \mathrm { n } }$$ where K and n are constants to be found.
    7
  2. Neptune takes approximately 60000 days to complete one orbit of the Sun.
    Use your answer to 7(a)(ii) to find an estimate for the average distance of Neptune from the Sun.