Applying logic is an essential skill in problem-solving and decision-making. However, there are alternative phrases that can be used to convey the same meaning. Synonyms for "apply logic" include reasoning, deducing, thinking critically, analyzing, and using rationality. These phrases all capture the idea of using systematic and logical processes to arrive at a conclusion. In other contexts, phrases such as "employ rationale" or "utilize reasoning" may also work. Regardless of the choice of words, the most important thing is to convey the idea that sound reasoning and logical processes are being used to achieve a particular goal.