On the coordinate plane, a point whose $x$-coordinate and $y$-coordinate are both integers is called a lattice point. How many lattice points are in the interior (not including the boundary) of the region bounded by the function graph $y = \log _ { 2 } x$, the $x$-axis, and the line $x = \frac { 61 } { 2 }$?\\
(1) 88\\
(2) 89\\
(3) 90\\
(4) 91\\
(5) 92