Edexcel P2 2022 October — Question 10

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2022
SessionOctober
TopicLaws of Logarithms

  1. Given \(a = \log _ { 2 } 3\)
    1. write, in simplest form, in terms of \(a\),
      (a) \(\log _ { 2 } 9\)
      (b) \(\log _ { 2 } \left( \frac { \sqrt { 3 } } { 16 } \right)\)
    2. Solve
    $$3 ^ { x } \times 2 ^ { x + 4 } = 6$$ giving your answer, in simplest form, in terms of \(a\).