CAIE P2 2006 November — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2006
SessionNovember
TopicExponential Functions

2
  1. Express \(4 ^ { x }\) in terms of \(y\), where \(y = 2 ^ { x }\).
  2. Hence find the values of \(x\) that satisfy the equation $$3 \left( 4 ^ { x } \right) - 10 \left( 2 ^ { x } \right) + 3 = 0 ,$$ giving your answers correct to 2 decimal places.