oh right it helps when you think it as a pronumeral. So technically when 2 logs for example 3 log (x) y + log (x) y, 1 log cancels out to become 3log (x) y? Also is it the same with 3 log (x) y - log (x) y?
3 log (x) y + log (x) y = 4 log (x) y
and
3 log (x) y - log (x) y = 2 log (x) y
You can treat it like a pronumeral it must satisfy BOTH of the following conditions:
* Common Base (in this case x) and
* The Number Following That (in this case y)
If it only satisfies the first condition then you will have to use the multiplication and division log laws