Question

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

Answer 1

Given:

$\log_(25x^3)+3\log_(\frac{1}{x})$

Required:

To simplify the given expression.

Explanation:

Consider

$\log_(25x^3)+3\log_(\frac{1}{x})$

Here by log property

$\begin{gathered} =\log_(25x^3)+\log_(\frac{1}{x})^3 \\ \\ =\log_(25x^3\times\frac{1}{x^3}) \\ \\ =\log_(25) \end{gathered}$

Final Answer:

The option A is correct.

$\log_(25)$