Question

\log \sqrt(x\sqrt(y\sqrt(z)))

Answer 1

$log( \sqrt{x \sqrt{y \sqrt{z} } } ) \\ \frac{1}{2} log(x \sqrt{y \sqrt{z} } ) \\ \frac{1}{2} ( log(x) + \frac{1}{2} log(y \sqrt{z} ) ) \\ \frac{1}{2} ( log(x) + \frac{1}{2} ( log(y) + \frac{1}{2} log(z) )) \\ \frac{1}{2} ( log(x) + \frac{1}{2} log(y) + \frac{1}{4} log(z) ) \\ \frac{1}{2 } log(x) + \frac{1}{4} log(y) + \frac{1}{8} log(z)$