The options are:

Answer:
![[B] log_(12)(1)/(2)- (log_(12)8+ log_(12)w).](https://img.qammunity.org/2021/formulas/mathematics/high-school/s1wjt2bjy94ekzqd29nutbhlc3hj4ioups.png)
Explanation:
Given the expression:

Step 1: Apply the division law of logarithm

Therefore:

STEP 2:Apply the multiplication law of logarithm.

Therefore:

STEP 3: Substitute the result from step 2 into the result from step 1

The correct option is B.