Решите неравенство : [latex]2x^{2} log x_{4} x \geq 2log_{2}x ^{5} +3xlog_{2} x[/latex]

[latex]\displaystyle 2x^2log_4 x\geq 2log_2x^5+3xlog_2x\\\\2*\frac{1}{2}*x^2log_2x \geq 2*5log_2x+3xlog_2x\\\\x^2log_2x \geq 10log_2x+3xlog_2x \;\big|:log_2x, \; ODZ: \; x\ \textgreater \ 0\\\\x^2-3x-10 \geq 0\\ p=5+(-2)=x_1=5\in ODZ;\\q=5*(-2)=x_2=-2 \notin ODZ.\\\\x\in [5; +\infty)[/latex]