Answer:
Option D: [tex]$ \frac{log \hspace{1mm} 3mn}{p} $[/tex]
Step-by-step explanation:
We have the following rules:
[tex]$ log \hspace{1mm} a + log \hspace{1mm} b = log \hspace{1mm}(a + b) $[/tex]
[tex]$ log \hspace{1mm} a - log \hspace{1mm} b = log\hspace{1mm} \bigg( \frac{a}{b} \bigg ) $[/tex]
Here, we have: [tex]$ log \hspace{1mm} 3 + log \hspace{1mm} m + log \hspace{1mm} n - log \hspace{1mm} p $[/tex]
[tex]$ = \bigg ( log \hspace{1mm} 3 + log \hspace{1mm} m + log \hspace{1mm} n \bigg ) - log \hspace{1mm} p $[/tex]
[tex]$ = log \hspace{1mm} 3mn - log \hspace{1mm} p $[/tex]
[tex]$ = log \bigg( \frac{3mn}{p} \bigg ) $[/tex]
Hence, the answer.
