0,\; x>\frac{1}{2}\\\\2x-1=x^2-4x+4\\\\x^2-6x+5=0\\\\x_1=1,x_2=5\\\\Otvet:\; 1,5.\\\\2)\; 4^{x+1}+4^{x}=320\\\\4^{x}\cdot 4+4^{x}=320\\\\4^{x}(4+1)=3204^{x}=64=4^3\\\\x=3" alt="\sqrt{2x-1}=x-2,\quad 2x-1>0,\; x>\frac{1}{2}\\\\2x-1=x^2-4x+4\\\\x^2-6x+5=0\\\\x_1=1,x_2=5\\\\Otvet:\; 1,5.\\\\2)\; 4^{x+1}+4^{x}=320\\\\4^{x}\cdot 4+4^{x}=320\\\\4^{x}(4+1)=3204^{x}=64=4^3\\\\x=3" align="absmiddle" class="latex-formula">
0\\\\x=9^{-\frac{1}{2}}\\\\x=\frac{1}{\sqrt9}=\frac{1}{3}" alt="3)\; log_9x=-\frac{1}{2},\quad x>0\\\\x=9^{-\frac{1}{2}}\\\\x=\frac{1}{\sqrt9}=\frac{1}{3}" align="absmiddle" class="latex-formula">