Answer
$log_{5}x^{9}y^{3}$
Work Step by Step
The power property of logarithms tells us that $log_{b}x^{r}=r log_{b}x$ (where x and b are positive real numbers, $b\ne1$, and r is a real number).
Therefore, $9log_{5}x+3log_{5}y=log_{5}x^{9}+log_{5}y^{3}$.
The product property of logarithms tells us that $log_{b}xy=log_{b}x+log_{b}y$ (where x, y, and, b are positive real numbers and $b\ne1$).
Therefore, $ log_{5}x^{9}+log_{5}y^{3}=log_{5}(x^{9}\times y^{3})=log_{5}x^{9}y^{3}$.
