Creating a logographic writing system for a language can quickly become overwhelming; having a different symbol/image for each word can quickly become overwhelming; it’s why Sequoyah switched to a syllabary instead of a logogram. The more words there are in a language the more symbols there have to be.
However, there are historically successful uses of logograms - for instance, Egyptian hieroglyphics and Chinese (when it first started). I’m not aware of any modern natural language that actually uses a logographic system as its primary writing system, though.
How would a conlang use a logographic writing system after the language grew to any extant? Would it be possible to create a conlang that actually uses a sustainable logographic system?