CAIE P2 2012 June — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2012
SessionJune
TopicExponential Equations & Modelling

2
  1. Given that \(5 ^ { 2 x } + 5 ^ { x } = 12\), find the value of \(5 ^ { x }\).
  2. Hence, using logarithms, solve the equation \(5 ^ { 2 x } + 5 ^ { x } = 12\), giving the value of \(x\) correct to 3 significant figures.