[tex]log _{x} \sqrt{3} = -\frac{1}{2} \\ \\D:\\\\x>0\ \ \wedge \ \ x\neq1\\\\D= ( 0,1)\ \cup\ (1,+\infty)[/tex]
[tex]log _{x} \sqrt{3} = -\frac{1}{2} \\ \\ x^ {-\frac{1}{2}}= \sqrt{3} \\\\ \frac{1}{\sqrt{x} }= \sqrt{3}\\\\\sqrt{3}\cdot \sqrt{x}=1\ \ \()^2\\\\3x=1 \ \ /:3\\\\ x=\frac{1}{3}[/tex]
