9 You are given that \(\log _ { 10 } y = 3 x + 2\).
- Find the value of \(x\) when \(y = 500\), giving your answer correct to 2 decimal places.
- Find the value of \(y\) when \(x = - 1\).
- Express \(\log _ { 10 } \left( y ^ { 4 } \right)\) in terms of \(x\).
- Find an expression for \(y\) in terms of \(x\).
Section B (36 marks)