CAIE P2 2002 November — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2002
SessionNovember
TopicExponential Equations & Modelling
3
  1. Express \(9 ^ { x }\) in terms of \(y\), where \(y = 3 ^ { x }\).
  2. Hence solve the equation $$2 \left( 9 ^ { x } \right) - 7 \left( 3 ^ { x } \right) + 3 = 0 ,$$ expressing your answers for \(x\) in terms of logarithms where appropriate.
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