CAIE P2 2018 June — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2018
SessionJune
TopicLaws of Logarithms

4
  1. Solve the equation \(2 \ln ( 2 x ) - \ln ( x + 3 ) = 4 \ln 2\).
  2. Hence solve the equation $$2 \ln \left( 2 ^ { u + 1 } \right) - \ln \left( 2 ^ { u } + 3 \right) = 4 \ln 2$$ giving the value of \(u\) correct to 4 significant figures.