Giải các phương trình :$\begin{array}{l}1) 2\log \left( {x + \frac{1}{2}} \right) - \log \left( {x - 1} \right) = \log \left( {x + \frac{5}{2}}\right) + \log 2\\2) \log \left( {x + \frac{4}{3}} \right) - \log \left( {x - \frac{1}{3}} \right) = \frac{1}{2}\log \left( {x+ 6} \right) - \frac{1}{2}\log x\end{array}$