Question

1. I'll look over your application and call you in a few days.

2. I'll look thoroughly your application and call you in a few days.
(Is 'look thoroughly' the opposite of 'look over'?)

3. I will look closely at your application.

4. I will take a close look at your application.

(Do #2, #3, and #4 have the same meaning? Do you have some other expressions which are similar to #3 or #4?

Answer 1

Sentence 2 is incorrect.

Sentences 3 and 4 mean the same as what you're trying to say in sentence 2, so I'd use 3 and 4, or substitute "thoroughly" in place of "closely" in sentence 3.

You could also say, "I'll take a good look at your application."