The answer is: logos.
Logos is an invocation or pretense to logics. It provides evidence to support a claim, although it might be erroneous, false or confusing. In the example sentence, the speaker's plea about curfews on week nights is supported by the sensible reason that it will help reduce noise pollution.
The rest of the choices are incorrect because ethos is an appeal to the credibility of the speaker, and pathos is an appeal to the audience's emotions.