It depends. Sometimes the manga can delve deeper into details and offer additional plot points that weren't shown in the anime. However, the core storylines often remain similar.
One major difference is the level of world - building. The novel is able to build the world of Log Horizon more comprehensively. It can describe the different regions, cultures, and races in great detail. The anime, while it does a good job of showing the main areas, can't cover as much ground as the novel. Additionally, the dialogue in the novel can be more complex and nuanced, as it doesn't have to rely on voice acting and visual cues to get the point across like the anime does.
Yes, the Log Horizon light novel does continue past the events covered in the anime. There are many new storylines and developments waiting for you in the novels.
One major difference is the pacing. The anime might have a faster pacing to fit within the episode time limits, while the light novel can take its time to develop characters and plot details. For example, in the light novel, there could be more in - depth exploration of the game mechanics and how the characters interact with them on a psychological level. The anime may simplify some of these aspects for the sake of visual presentation and easier understanding for a wider audience.