Answer: The correct option is (A) [tex]\log(3)-\log(8).[/tex]
Step-by-step explanation: We are to select the correct expression that is equivalent to the following logarithmic expression:
[tex]E=\log\left(\dfrac{3}{8}\right).[/tex]
We have the following property of logarithm:
[tex]\log\left(\dfrac{a}{b}\right)=\log a-\log b.[/tex]
Therefore, we have
[tex]E\\\\\\=\log\left(\dfrac{3}{8}\right)\\\\\\=\log (3)-\log (8).[/tex]
Thus, the given expression is equivalent to [tex]\log(3)-\log(8).[/tex]
Option (A) is correct.
