New International Version, Romans 12:
λογικὴν (logikēn)
Adjective - Accusative Feminine Singular
Strong's 3050: (a) reasonable, rational, (b) metaphorical, as contrasted with the literal. From logos; rational.
BDAG:
Berean Literal Bible:1 Therefore, I urge you, brothers and sisters, in view of God’s mercy, to offer your bodies as a living sacrifice, holy and pleasing to God—this is your true and proper worship.
English Standard Version:Therefore I exhort you, brothers, through the compassions of God, to present your bodies as a living sacrifice, holy to God, well-pleasing, which is your reasonable service.
spiritualI appeal to you therefore, brothers, by the mercies of God, to present your bodies as a living sacrifice, holy and acceptable to God, which is your spiritual worship.
λογικὴν (logikēn)
Adjective - Accusative Feminine Singular
Strong's 3050: (a) reasonable, rational, (b) metaphorical, as contrasted with the literal. From logos; rational.
BDAG:
λογικός … being carefully thought through, thoughtful λογικὴ λατρεία a thoughtful service (in a dedicated spiritual sense) Ro 12:1