I don’t undertand this questions at all can u pls explain it to me please I need help

Given:
[tex]\log _x(\frac{1}{4})=-\frac{1}{2}[/tex][tex]\frac{1}{4}=x^{-\frac{1}{2}}[/tex][tex]\frac{1}{4}=\frac{1}{x^{\frac{1}{2}}}[/tex][tex]x^{\frac{1}{2}}=4[/tex][tex]x=2[/tex]