1 Answer

Amol Manthalkar · Answer 1 · 2023-04-11T14:05:59+0000

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),

$\log_5(11\cdot8^2)$

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