Given
[tex]\log_511+2\log_58[/tex]To Rewrite using lograthmic expressions.
Explanation:
It is given that,
[tex]\log_511+2\log_58[/tex]That implies,
Since
[tex]\begin{gathered} m\log_ab=\log_ab^m \\ \log_ab+\log_ac=\log_a(b\cdot c) \end{gathered}[/tex]Then,
[tex]\begin{gathered} \log_511+2\log_58=\log_511+\log_58^2 \\ =\log_5(11\cdot8^2) \end{gathered}[/tex]Hence, the answer is option D),
[tex]\log_5(11\cdot8^2)[/tex]
