Answer:
[tex]\log_{3}(x^4y)=4\log_{3}(x)+\log_{3}(y)[/tex]
Step-by-step explanation:
The given logarithmic expression is
[tex]log_{3}(x^4y)[/tex]
Recall and use the product property of logarithm: [tex]\log_a(MN)=\log_a(M)+\log_a(N)[/tex];
This implies that;
[tex]\log_{3}(x^4y)=\log_{3}(x^4)+\log_{3}(y)[/tex]
Recall again that; [tex]\log_a(M^n)=n\log_a(M)[/tex];
We apply this property to get;
[tex]\log_{3}(x^4y)=4\log_{3}(x)+\log_{3}(y)[/tex]
