The term 'prefix with -logue' can be solved by two words: IDEO and EPI. IDEO is a 4-letter word meaning 'to show' or 'to demonstrate, ' while EPI is a 3-letter word meaning 'UPON' or 'ON.' Both words are derived from the Greek language, and they are often used in combination to form words such as 'ideologue' and 'EPILOGUE.' In this context, they can be used to describe someone who is demonstrating their beliefs or opinions, or to refer to the conclusion of a story or speech.