cogent

adjective3

1. •
   Reasonable and convincing; based on evidence.

   • We congratulate our correspondents on some very cogent reasoning, and shall have to watch our step even more carefully in future! — 1944
2. •
   Appealing to the intellect or powers of reasoning.
3. •
   Forcefully persuasive; relevant, pertinent.

   • The prosecution presented a cogent argument, convincing the jury of the defendant's guilt.