Simplify the following expression.log(25x3) + 3 log()A.log 25B.log 75x2C.log 75D.log 25x2

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]