0} \atop {2x+12>0}} \right. \left \{ {{x>0} \atop {x>-6}} \right.\; \to \; x>0\\\\Otvet:x=6 " alt="f(\frac{x}{2}+3)=log_5{(4(\frac{x}{2}+3))}=log_5{(2x+12)}\\\\f(x)=f(\frac{x}{2}+3)\; \; \to \; \;log_5{4x}=log_5{(2x+12)}\\\\4x=2x+12\\\\2x=12,\; \; x=6\; \; \; \; OOF:\; \; \left \{ {{4x>0} \atop {2x+12>0}} \right. \left \{ {{x>0} \atop {x>-6}} \right.\; \to \; x>0\\\\Otvet:x=6 " align="absmiddle" class="latex-formula">