Depends on what you are talking about for example if you are talking about a nonfiction or an opinion piece then the author might use transition words to move smoothly on to the next paragraph or to start a new topic.
If it's a fiction then it's most likely using descriptive language, p.o.v , dialogue and character development I. The story
Log is the object of the preposition because it is a noun and under is a preposition.
Where above you have to write the whole question or just don't bother writing one