Question

Solve:
$\log y\sqrt{x}.{\log }_z{y}^3.{\log }_x\sqrt{z^2}$

Answer 1

${\log }_y\sqrt{x}.{\log }_z{y}^3.{\log }_x\sqrt{z^2}$

$⟹\frac{\log \sqrt{x}}{\log y}\times 3\frac{\log y}{\log z}\times \frac{\log z}{\log x}$

$⟹\frac{1}{2}\times \frac{\log x}{\log y}\times 3\frac{\log y}{\log z}\times \frac{\log z}{\log x}$

$⟹\frac{3}{2}$