Tách z nè:
[imath]\log_{2}{\frac{(x^2+x+30)}{(x^2+x+5)}} \geq x^2+x-19[/imath]
[imath]<=>\log_{2}{(x^2+x+30)}+x^2+x+30 \geq \log_{2}{(x^2+x+5)}+2x^2+x+10+\log_{2}{2}[/imath]
[imath]<=> \log_{2}{(x^2+x+30)}+x^2+x+30 \geq \log_{2}{(2x^2+x+10)}+2x^2+x+10[/imath]
Hàm [imath]\log_{2}t+t[/imath] đồng biến khi [imath]t>0[/imath].