Помогите с неравенством

Bb $4^{x+1}-16^{x}\ \textless \ 2\cdot log_48\\\\log_48=log_{2^2}2^3=\frac{1}{2}\cdot 3log_22=\frac{3}{2}\\\\\\4^{x}\cdot 4-(4^{x})^2\ \textless \ 3\\\\t=4^{x}\ \textgreater \ 0\; ,\; \; t^2-4t+3\ \textgreater \ 0\\\\t_1=1\; ,\; t_2=3\\\\+++(1)---(3)+++\\\\ \left \{ {{4^{x}\ \textless \ 1} \atop {4^{x}\ \textgreater \ 3}} \right. \; \left \{ {{4^{x}\ \textless \ 4^0} \atop {4^{x}\ \textgreater \ 4^{log_43}}} \right. \; \left \{ {{x\ \textless \ 0} \atop {x\ \textgreater \ log_43}} \right. \\\\x\in (-\infty,0)\cup (log_43,+\infty)$