Question

Please I really need help on this please

Answer 1

Answer:

Option D: $\frac{log \hspace{1mm} 3mn}{p}$

Step-by-step explanation:

We have the following rules:

$log \hspace{1mm} a + log \hspace{1mm} b = log \hspace{1mm}(a + b)$

$log \hspace{1mm} a - log \hspace{1mm} b = log\hspace{1mm} \bigg( \frac{a}{b} \bigg )$

Here, we have: $log \hspace{1mm} 3 + log \hspace{1mm} m + log \hspace{1mm} n - log \hspace{1mm} p$

$= \bigg ( log \hspace{1mm} 3 + log \hspace{1mm} m + log \hspace{1mm} n \bigg ) - log \hspace{1mm} p$

$= log \hspace{1mm} 3mn - log \hspace{1mm} p$

$= log \bigg( \frac{3mn}{p} \bigg )$

Hence, the answer.