CAIE P3 2002 November — Question 3

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2002
SessionNovember
TopicLaws of Logarithms

3
  1. Show that the equation $$\log _ { 10 } ( x + 5 ) = 2 - \log _ { 10 } x$$ may be written as a quadratic equation in \(x\).
  2. Hence find the value of \(x\) satisfying the equation $$\log _ { 10 } ( x + 5 ) = 2 - \log _ { 10 } x$$