Question

Write as a single logarithm with coefficient 1

Answer 1

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