The arguments of the lawyer of the accused were so persuasive that the judge aquitted him.

Clever : quick to understand, learn, and devise or apply ideas; intelligent.
Logical : of or according to the rules of logic or formal argument.
Eloquent : of or according to the rules of logic or formal argument.
Convincing : capable of causing someone to believe that something is true or real.
Persuasive : good at persuading someone to do or believe something through reasoning or the use of temptation.

Synonym of Persuasive is Convincing