Question

Given 2 log x + 1/2 log y = 1, express y in terms of x.

Answer 1

$2 log(x) + \frac{1}{2} log(y) = 1 \\ log( {x}^{2} ) + log( \sqrt{y} ) = log_{10}(10) \\ log( {x}^{2} \sqrt{y} ) = log_{10}(10) \\ {x}^{2} \sqrt{y} = 10$