![image](https://tex.z-dn.net/?f=ln%284x-3%29%3D2lnx%2C%5C%3B+OOF%3A%5C%3B++%5Cleft+%5C%7B+%7B%7B4x-3%3E0%7D+%5Catop+%7Bx%3E0%7D%7D+%5Cright.+%2C%5C%3B+x%3E%5Cfrac%7B3%7D%7B4%7D%5C%5C%5C%5Cln%284x-3%29%3Dlnx%5E2%5C%5C%5C%5C4x-3%3Dx%5E2%5C%5C%5C%5Cx%5E2-4x%2B3%3D0%5C%5C%5C%5Cx_1%3D1%2C%5C%3B+x_2%3D3%5C%3B+%28teor.%5C%3B+Vieta%29)
0} \atop {x>0}} \right. ,\; x>\frac{3}{4}\\\\ln(4x-3)=lnx^2\\\\4x-3=x^2\\\\x^2-4x+3=0\\\\x_1=1,\; x_2=3\; (teor.\; Vieta)" alt="ln(4x-3)=2lnx,\; OOF:\; \left \{ {{4x-3>0} \atop {x>0}} \right. ,\; x>\frac{3}{4}\\\\ln(4x-3)=lnx^2\\\\4x-3=x^2\\\\x^2-4x+3=0\\\\x_1=1,\; x_2=3\; (teor.\; Vieta)" align="absmiddle" class="latex-formula">