Answer:
11
Step-by-step explanation:
[tex]log_{a} (\frac{xy^{3}}{z^{2}} )[/tex]=[tex]log_{a} (xy^{3}) - log_{a} z^{2}[/tex]
but [tex]log_{a}xy^{3}= log_{a}x + 3log_{a}y[/tex]
also [tex]log_{a}z^{3}= 3log_{a}z[/tex]
therefor
[tex]log_{a} (\frac{xy^{3}}{z^{2}} )[/tex]=2+(3x5) - (2x3)=2+15-6=11
