Question

Need help please. Quick answer is okay

Answer 1

Given

`\log_511+2\log_58`

To Rewrite using lograthmic expressions.

Step-by-step explanation:

It is given that,

`\log_511+2\log_58`

That implies,

Since

`\begin{gathered} m\log_ab=\log_ab^m \\ \log_ab+\log_ac=\log_a(b\cdot c) \end{gathered}`

Then,

`\begin{gathered} \log_511+2\log_58=\log_511+\log_58^2 \\ =\log_5(11\cdot8^2) \end{gathered}`

Hence, the answer is option D),

`\log_5(11\cdot8^2)`