SPS SPS SM Pure 2020 February — Question 1 4 marks

Exam BoardSPS
ModuleSPS SM Pure (SPS SM Pure)
Year2020
SessionFebruary
Marks4
TopicLaws of Logarithms

1
  1. Given that $$2 \ln ( 3 - x ) - \ln ( 21 - 2 x ) = 0$$ show that $$x ^ { 2 } - 4 x - 12 = 0$$ [4]
    1. Write down the roots of the equation \(x ^ { 2 } - 4 x - 12 = 0\).
    2. State which of these two roots is not a solution of $$2 \ln ( 3 - x ) - \ln ( 21 - 2 x ) = 0$$ giving a reason for your answer.