Respuesta :

Given:

[tex]\log_(25x^3)+3\log_(\frac{1}{x})[/tex]

Required:

To simplify the given expression.

Explanation:

Consider

[tex]\log_(25x^3)+3\log_(\frac{1}{x})[/tex]

Here by log property

[tex]\begin{gathered} =\log_(25x^3)+\log_(\frac{1}{x})^3 \\ \\ =\log_(25x^3\times\frac{1}{x^3}) \\ \\ =\log_(25) \end{gathered}[/tex]

Final Answer:

The option A is correct.

[tex]\log_(25)[/tex]