Quickly would be the adverb adverbs can usually end with ly
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.
Answer:
State your claim very often when writing and very vividly
Explanation:
I need to see the story to tell u the answer