Question

solve the equation.

Answer 1

$log_{a}(x) = 3 log_{a}(y) - \frac{1}{2} log_{a}(z) \\ log_{a}(x) = log_{a}( {y}^{3} ) - log_{a}( \sqrt{z} ) \\ log_{a}(x) = log_{a}( \frac{ {y}^{3} }{ \sqrt{z} } ) \\ x = \frac{ {y}^{3} }{ \sqrt{z} }$