CAIE P3 2019 March — Question 1

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2019
SessionMarch
TopicLaws of Logarithms

1
  1. Show that the equation \(\log _ { 10 } ( x - 4 ) = 2 - \log _ { 10 } x\) can be written as a quadratic equation in \(x\).
  2. Hence solve the equation \(\log _ { 10 } ( x - 4 ) = 2 - \log _ { 10 } x\), giving your answer correct to 3 significant figures.