SPS SPS SM 2020 October — Question 9

Exam BoardSPS
ModuleSPS SM (SPS SM)
Year2020
SessionOctober
TopicLaws of Logarithms

9. In this question you must show detailed reasoning. Solve the following simultaneous equations: $$\begin{gathered} \left( \log _ { 3 } x \right) ^ { 2 } + \log _ { 3 } \left( y ^ { 2 } \right) = 5
\log _ { 3 } \left( \sqrt { 3 } x y ^ { - 1 } \right) = 2 \end{gathered}$$