Edexcel P2 2024 June — Question 3

Exam BoardEdexcel
ModuleP2 (Pure Mathematics 2)
Year2024
SessionJune
TopicLaws of Logarithms

  1. In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.
    1. Using the laws of logarithms, solve
    $$2 \log _ { 2 } ( 2 - x ) = 4 + \log _ { 2 } ( x + 10 )$$
  2. Find the value of $$\log _ { \sqrt { a } } a ^ { 6 }$$ where \(a\) is a positive constant greater than 1