- (i) Given that
$$\log _ { a } x + \log _ { a } 3 = \log _ { a } 27 - 1 , \text { where } a \text { is a positive constant }$$
find, in its simplest form, an expression for \(x\) in terms of \(a\).
(ii) Solve the equation
$$\left( \log _ { 5 } y \right) ^ { 2 } - 7 \left( \log _ { 5 } y \right) + 12 = 0$$
showing each step of your working.