The correct answer would be option D: " To demonstrate the soundness of his argument through analogy". Logos is a rhetorical device used in literature to appeal to the logical side of a reader by making him reason using logic; it is one of the Aristotelian appeals the others being pathos (emotion) and ethos (ethics).
Option A is incorrect because the author does not give factual evidence, nor does he appeal to emotion or claim to be an expert in the field. Therefore options B and C are also incorrect.