[tex] log_{4} \frac{x+3}{2-x}\ \textgreater \ \frac{1}{2} \\ \frac{x+3}{2-x} \ \textgreater \ 2 ;x.apartine.(-3;2) \\ \frac{x+3-2(2-x)}{2-x}\ \textgreater \ 0 \\ \frac{3x-1}{2-x}\ \textgreater \ 0 \\ x.apartine.( \frac{1}{3};2) \\ intersectia.celor.doua.intervale.este: ( \frac{1}{3};2) [/tex]