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_((1)/(x))`

Required:

To simplify the given expression.

Step-by-step explanation:

Consider

`\log_(25x^3)+3\log_((1)/(x))`

Here by log property

`\begin{gathered} =\log_(25x^3)+\log_((1)/(x))^3 \\ \\ =\log_(25x^3*(1)/(x^3)) \\ \\ =\log_(25) \end{gathered}`

Final Answer:

The option A is correct.

`\log_(25)`