![1.\;\;2\cos^2x-2\sin x-1=0\\2-2\sin^2x-2\sin x-1=0\\2\sin^2x+2\sin 2-1=0\\\sin x=t,\;\sin^2x=t^2,\;t\in[-1;\;1]\\2t^2+2t-1=0\\D=4+4\cdot2\cdot1=12\\t_1=\frac{-2-2\sqrt2}{2}=-1-\sqrt2<-1\;-\;HE\;nogx.\\t_2=\frac{-2+2\sqrt2}2=-1+\sqrt2\\\sin x=\sqrt2-1\\x=\arcsin(\sqrt2-1)](https://tex.z-dn.net/?f=1.%5C%3B%5C%3B2%5Ccos%5E2x-2%5Csin+x-1%3D0%5C%5C2-2%5Csin%5E2x-2%5Csin+x-1%3D0%5C%5C2%5Csin%5E2x%2B2%5Csin+2-1%3D0%5C%5C%5Csin+x%3Dt%2C%5C%3B%5Csin%5E2x%3Dt%5E2%2C%5C%3Bt%5Cin%5B-1%3B%5C%3B1%5D%5C%5C2t%5E2%2B2t-1%3D0%5C%5CD%3D4%2B4%5Ccdot2%5Ccdot1%3D12%5C%5Ct_1%3D%5Cfrac%7B-2-2%5Csqrt2%7D%7B2%7D%3D-1-%5Csqrt2%3C-1%5C%3B-%5C%3BHE%5C%3Bnogx.%5C%5Ct_2%3D%5Cfrac%7B-2%2B2%5Csqrt2%7D2%3D-1%2B%5Csqrt2%5C%5C%5Csin+x%3D%5Csqrt2-1%5C%5Cx%3D%5Carcsin%28%5Csqrt2-1%29 "1.\;\;2\cos^2x-2\sin x-1=0\\2-2\sin^2x-2\sin x-1=0\\2\sin^2x+2\sin 2-1=0\\\sin x=t,\;\sin^2x=t^2,\;t\in[-1;\;1]\\2t^2+2t-1=0\\D=4+4\cdot2\cdot1=12\\t_1=\frac{-2-2\sqrt2}{2}=-1-\sqrt2<-1\;-\;HE\;nogx.\\t_2=\frac{-2+2\sqrt2}2=-1+\sqrt2\\\sin x=\sqrt2-1\\x=\arcsin(\sqrt2-1)")
0\Rightarrow x<\frac32\\\log_4(3-2x)<\log_42\\3-2x<2\\2x>1\\x>\frac12\\c\;O.D.3.:\;x>\frac32" alt="2.\;\log_4(3-2x)<\frac12\\O.D.3.:\; 3-2x>0\Rightarrow x<\frac32\\\log_4(3-2x)<\log_42\\3-2x<2\\2x>1\\x>\frac12\\c\;O.D.3.:\;x>\frac32" align="absmiddle" class="latex-formula">