- (i) Using the laws of logarithms, solve
$$\log _ { 3 } ( 4 x ) + 2 = \log _ { 3 } ( 5 x + 7 )$$
(ii) Given that
$$\sum _ { r = 1 } ^ { 2 } \log _ { a } \left( y ^ { r } \right) = \sum _ { r = 1 } ^ { 2 } \left( \log _ { a } ( y ) \right) ^ { r } \quad y > 1 , a > 1 , y \neq a$$
find \(y\) in terms of \(a\), giving your answer in simplest form.
(3)