I love when customer ask me to realize o make a restyling of his logo, because for me is a relaxing and enjoy work. After realization, I send all logos in vector and higt resolution.
When customer need more (like website restylink) the logo study and creation is included (it’s free!).
Final logo is sent generally in two formats: .pdf (for print) .jpg (higt resolution).
Some customers need other graphic projects, like brochure, depliant … You can see some example here below: