We should understand that a persuasive argument does not throw out the rules of a valid or sound argument. Its design, however, is to entice the other person. It is meant to carry an appeal that neither a valid nor a sound argument is able to carry. It is meant to bring the opponent into our arena of concern.
I an apologetic context, persuasion is essential. A persuasive apologetic takes something that the non-Christian has already claimed to be true, and uses it to the advantage of the Christian defense. What separates a persuasive argument from other kinds of arguments is that, wherever possible and permissible, it incorporates the opponent's beliefs to its own advantage. This "brings the opponent in" to the discussion automatically, by affirming what he himself has said.
(Oliphint, K. Scott. The Battle Belongs to the Lord: The Power of Scripture for Defending Our Faith. Phillipsburg, NJ: P&R, 2003. Print.151