0} \atop {5x-4>0}} \right. \; \left \{ {{x>0} \atop {x>\frac{4}{5}}} \right. \; x>\frac{4}{5}\\\\lgx^2=lg(5x-4)\\\\x^2=5x-4\\\\x^2-5x+4=0\\\\x_1=1,x_2=4\; -otvet" alt="2lgx=lg(5x-4),\; \; OOF:\; \left \{ {{x>0} \atop {5x-4>0}} \right. \; \left \{ {{x>0} \atop {x>\frac{4}{5}}} \right. \; x>\frac{4}{5}\\\\lgx^2=lg(5x-4)\\\\x^2=5x-4\\\\x^2-5x+4=0\\\\x_1=1,x_2=4\; -otvet" align="absmiddle" class="latex-formula">