[tex]\bf \boxed{2} log_2(x)+\boxed{\frac{1}{3}} log_2(y)-\boxed{3} log_2(z)
\\\\\\
\underline{log_2\left( x^{\boxed{2}} \right)+log_2\left( y^{\boxed{\frac{1}{3}}} \right)}-log_2\left( z^{\boxed{3}} \right)
\\
\qquad \downarrow \\\\ {log_2\left( x^2y^{\frac{1}{3}} \right)-log_2\left( z^3 \right)}\\
\qquad \downarrow \\\\
log_2\left( \cfrac{x^2y^{\frac{1}{3}}}{z^3} \right)[/tex]