Tìm x, biết 

Câu hỏi: Tìm x, biết ${\log }_{\frac{1}{2}}x=\frac{2}{3}{\log }_{\frac{1}{2}}a-\frac{1}{5}{\log }_{\frac{1}{2}}b$.

A. $x=\frac{a^{{\displaystyle \frac{2}{3}}}}{b^{{\displaystyle \frac{1}{5}}}}$

B. $x=\frac{a^{{\displaystyle \frac{2}{3}}}}{b^{{\displaystyle \frac{2}{5}}}}$

C. $x=\frac{a^{{\displaystyle \frac{3}{2}}}}{b^{{\displaystyle \frac{2}{5}}}}$

D. $x=\frac{a^{{\displaystyle \frac{3}{2}}}}{b^{{\displaystyle \frac{1}{5}}}}$