The message is understood but the sentence is not well written. You should write "Logos, that is the appeal of logic, consists of persuation backed up with actual observation, data, and facts". While the word Logos can be paraphrased as 'the appeal of logic', it is necessary to clarify the function of Logos in a text. With that purpose in mind, it is neccesary to separate the ideas of persuation from the paraphrase.
Explanation:there’s is some truth behind stereotypes, because it shows the performance of what ur actually describing.For example when u see a kid with glasses and good grades you think of him as a geek which is partially true.