Quote:
1. He had often been ill like a child
I
think what you mean here is that kids get sick quite often, and so
getting sick OFTEN is what's "childlike"? If so, then it's better to write the sentence with a comma:
He has often been ill, like a child. ...or, with perhaps even more clarity,
He has been ill often, like a child.The problem with NOT using a comma is that the default interpretation assigns the modifier to the closest and smallest available phrase (as is the case for other no-comma modifiers).
In your original sentence, that would just be "been ill". I.e., the way you originally wrote this sentence, it would be understood by default to mean "Quite often, he
has been sick like a child"... whatever that means! At very best it's ambiguous.
Quote:
2. the student worked as a sketch artist ( 'as' because it describes a role. 'like' can not be used here)
100% correct.
Quote:
3. Coal burning released as much radioactivity like the three-mile island accident
Nope. The properly idiomatic phrasing is "
as [
ADJ/
ADV]
as ..."
so, here, you'd write "
as much radioactivity
as..."