| Exam Board | SPS |
| Module | SPS SM (SPS SM) |
| Year | 2020 |
| Session | October |
| Topic | Laws of Logarithms |
9. In this question you must show detailed reasoning.
Solve the following simultaneous equations:
$$\begin{gathered}
\left( \log _ { 3 } x \right) ^ { 2 } + \log _ { 3 } \left( y ^ { 2 } \right) = 5
\log _ { 3 } \left( \sqrt { 3 } x y ^ { - 1 } \right) = 2
\end{gathered}$$