Answer
$9\log_{5}x+3\log_{5}y=\log_{5}x^{9}y^{3}$
Work Step by Step
$9\log_{5}x+3\log_{5}y$
Take the coefficients $9$ and $3$ inside their respective logarithms as exponents:
$9\log_{5}x+3\log_{5}y=\log_{5}x^{9}+\log_{5}y^{3}=...$
Combine $\log_{5}x^{9}+\log_{5}y^{3}$ as the $\log$ of a product:
$...=\log_{5}x^{9}y^{3}$
