Edexcel C2 2013 January — Question 6

Exam BoardEdexcel
ModuleC2 (Core Mathematics 2)
Year2013
SessionJanuary
TopicLaws of Logarithms
6. Given that $$2 \log _ { 2 } ( x + 15 ) - \log _ { 2 } x = 6$$
  1. Show that $$x ^ { 2 } - 34 x + 225 = 0$$
  2. Hence, or otherwise, solve the equation $$2 \log _ { 2 } ( x + 15 ) - \log _ { 2 } x = 6$$
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