1) Applied logic 2) Argued logically 3) Cogent 4) Logically concluded 5) Logically valid 6) Sound 7) Thought logically 8) Thought out 9) Thought through 10) Valid 11) Well thought out 12) Well thought-out 13) Well thought-out or presented 14) Well-grounded 15) Well-thought out or presented Found on https://www.crosswordclues.com/clue/reasoned