SPS SPS SM 2022 October — Question 5

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2022
SessionOctober
TopicLaws of Logarithms

5. (a) Given that $$y = \log _ { 3 } x$$ find expressions in terms of \(y\) for
  1. \(\log _ { 3 } \left( \frac { x } { 9 } \right)\)
  2. \(\log _ { 3 } \sqrt { x }\) Write each answer in its simplest form.
    (b) Hence or otherwise solve $$2 \log _ { 3 } \left( \frac { x } { 9 } \right) - \log _ { 3 } \sqrt { x } = 2$$ [BLANK PAGE]