To solve this problem, we will use these rules
[tex]\begin{gathered} \log ab=\log a+\log b\rightarrow(1) \\ \log a^n=n\log a\rightarrow(2) \end{gathered}[/tex]
The given expression is
[tex]\log x^5y[/tex]
By using rule (1)
[tex]\log x^5y=\log x^5+\log y[/tex]
Use the rule (2) with log x^5
[tex]\log x^5=5\log x[/tex]
Then the last answer is
[tex]\log x^5y=5\log x+\log y[/tex]
The answer is 5 log x + log y
