CAIE P2 2021 June — Question 1

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2021
SessionJune
TopicLaws of Logarithms

1
  1. Solve the equation \(\ln ( 2 + x ) - \ln x = 2 \ln 3\).
  2. Hence solve the equation \(\ln ( 2 + \cot y ) - \ln ( \cot y ) = 2 \ln 3\) for \(0 < y < \frac { 1 } { 2 } \pi\). Give your answer correct to 4 significant figures.