#### Answer

$log_{36}6=\frac{1}{2}$

#### Work Step by Step

For all positive numbers $a$, where $a\ne1$, and all positive numbers $x$, we know that $y=log_{a}x$ means the same as $x=a^{y}$.
Therefore, $36^{\frac{1}{2}}=6$ means the same as $log_{36}6=\frac{1}{2}$.