Consider the function f$($x$,$y$)=$ln$|$ln$|$x$|+$ln$|$y$||($a$)(6$ points$)$ Determine the domain for f$($x$,$y$).$ Graph the domain on the xy$-$plane, clearly identify the boundaries of each region. How many distinct regions that represent this domain. $($b$)(6$ points$)$ Determine the curve$($s$)$ that represent the level curve f$($x$,$y$)=0.$