CAIE P2 2015 June — Question 1

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2015
SessionJune
TopicExponential Equations & Modelling

1
  1. Use logarithms to solve the equation \(2 ^ { x } = 20 ^ { 5 }\), giving the answer correct to 3 significant figures.
  2. Hence determine the number of integers \(n\) satisfying $$20 ^ { - 5 } < 2 ^ { n } < 20 ^ { 5 }$$