AQA C2 2006 January — Question 7

Exam BoardAQA
ModuleC2 (Core Mathematics 2)
Year2006
SessionJanuary
TopicLaws of Logarithms
7 It is given that \(n\) satisfies the equation $$2 \log _ { a } n - \log _ { a } ( 5 n - 24 ) = \log _ { a } 4$$
  1. Show that \(n ^ { 2 } - 20 n + 96 = 0\).
  2. Hence find the possible values of \(n\).
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