logically
adv.in a way that makes sense and follows clear rules of thinking. You use this when one idea leads naturally to the next.
adv.in a manner that accords with the principles of rigorous reasoning or formal logic. Often describes the sequence of an argument or the inevitable result of a set of facts.
“If you follow the steps logically, you will find the answer.”
“The detective explained logically how the evidence pointed toward the suspect's involvement in the crime.”
“While the conclusion may seem surprising at first glance, it follows logically from the premises established in the opening chapter of the report.”
Typically placed after the verb it modifies or at the beginning of a sentence to comment on the whole statement.
“Logically, fewer years working and paying into the system means that you will get a smaller pension.”
From logical + -ly.
Etymology adapted from Wiktionary, available under CC BY-SA 4.0.