![image](https://tex.z-dn.net/?f=log%5E2_%7B0%2C1%7Dx%2B3log_%7B0%2C1%7Dx%3E4%5C%3B+%2C%5C%3B+%5C%3B+ODZ%3A%5C%3B+x%3E0%5C%5C%5C%5Ct%3Dlog_%7B0%2C1%7Dx%5C%3B+%2C%5C%3B+%5C%3B+t%5E2%2B3t-4%3E0%5C%5C%5C%5CD%3D9%2B16%3D25%5C%3B+%2C%5C%3B+%5Csqrt%7BD%7D%3D5%5C%5C%5C%5Ct_1%3D%5Cfrac%7B-3-5%7D%7B2%7D%3D-4%5C%3B+%2C%5C%3B+%5C%3B+t_2%3D1%5C%5C%5C%5C1%29%5C%3B+log_%7B0%2C1%7Dx%3D-4%5C%3B+%2C%5C%3B+log_%7B10%5E%7B-1%7D%7D%3D-4%5C%3B+%2C%5C%3B+-lgx%3D-4%5C%3B+%2C%5C%3B+x%3D10%5E4%3E0%5C%5C%5C%5C2%29%5C%3B+log_%7B0%2C1%7Dx%3D1%5C%3B+%2C%5C%3B+x%3D0%2C1%3E0%5C%5C%5C%5COtvet%3A%5C%3B+10%5E4%3B%5C%3B+%5C%3B+0%2C1.)
4\; ,\; \; ODZ:\; x>0\\\\t=log_{0,1}x\; ,\; \; t^2+3t-4>0\\\\D=9+16=25\; ,\; \sqrt{D}=5\\\\t_1=\frac{-3-5}{2}=-4\; ,\; \; t_2=1\\\\1)\; log_{0,1}x=-4\; ,\; log_{10^{-1}}=-4\; ,\; -lgx=-4\; ,\; x=10^4>0\\\\2)\; log_{0,1}x=1\; ,\; x=0,1>0\\\\Otvet:\; 10^4;\; \; 0,1." alt="log^2_{0,1}x+3log_{0,1}x>4\; ,\; \; ODZ:\; x>0\\\\t=log_{0,1}x\; ,\; \; t^2+3t-4>0\\\\D=9+16=25\; ,\; \sqrt{D}=5\\\\t_1=\frac{-3-5}{2}=-4\; ,\; \; t_2=1\\\\1)\; log_{0,1}x=-4\; ,\; log_{10^{-1}}=-4\; ,\; -lgx=-4\; ,\; x=10^4>0\\\\2)\; log_{0,1}x=1\; ,\; x=0,1>0\\\\Otvet:\; 10^4;\; \; 0,1." align="absmiddle" class="latex-formula">