Question

Please I really need help on this please

Answer 1

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

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( (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( (3mn)/(p) \bigg ) $`

Hence, the answer.