I researched this because I’ve always had a problem deciding which to use. This makes sense…mic as the noun, and mike as the verb.
Technical Grammar
If you research the grammar surrounding the word ‘microphone’ and use industry standard publications such as “Mix”, “Recording Engineer and Producer”, “Electronic Musician” etc…you will find that ‘mic’ is a noun and ‘mike’ is a verb. Therefore, I can place a mic or I can mike the drum set.
The apostrophe versions (mic’ing and mic’d) started creeping into the internet around 2010 or maybe a bit before.