"Logogrammatically" is a somewhat uncommon adverb that refers to the use of logograms, or written symbols that represent a word or phrase. Synonyms for this word include "ideographically," which also refers to representing meaning through symbols, and "pictorially," which suggests using images to convey meaning.
Other synonyms for "logogrammatically" include "graphically," indicating the use of graphic symbols, and "iconically," indicating the use of icons or symbols. Additionally, "semantically," which specifically refers to the meaning of words and signs, could also be considered a synonym in certain contexts. Overall, these synonyms highlight the importance of visual representation and symbolic meaning in communication.