The word "sloggingly" is often used to describe a task or activity that is laborious, tiring, and requires a lot of effort. Some synonyms for "sloggingly" include arduously, laboriously, heavily, tediously, and gruelingly. These words convey a sense of difficulty and suggest that the task at hand is not easy. Other synonyms for "sloggingly" could include tiresomely, wearisomely, wearily, and drudgingly. Overall, any of these words can be used to effectively communicate the sense of hard work and struggle that is inherent in a task that is described as "sloggingly".