How do you use the properties of logarithms to expand ##log_10((xy^4)/z^3)##?

##log x +4log y -3log z##

##log_10x=logx## since base 10 is assumed.

##log((xy^4)/z^3)##

##log(a/b)=loga-logb##

##log xy^4-logz^3##

##logab=loga+logb##

##logx+logy^4-logz^3##

##loga^b=bloga##

##logx+4logy-3logz##