Lexical Definition

‎ἐξομολογέω‎ exomologéō (ex-om-ol-og-eh'-o) to agree ^G:V
from ‎ἐκ‎ and ‎ὁμολογέω‎

confess, profess, promise.

• to acknowledge or (by implication, of assent) agree fully

Abbott-Smith

† ἐξ-ομολογέω, -ῶ and depon. mid., -έομαι, -οῦμαι [as always in LXX chiefly for יָדָה hi. ;]
1. act. = cl. ὁμολογέω, to profess or agree to do (Field, Notes, 75): Lk 22:6.
2. Mid., to acknowledge, confess (MM, Exp., xiv): τ. ἁμαρτίας, Mt 3:6, Mk 1:5, Ja 5:16; τ. πράξεις, Ac 19:18; seq. ὅτι, Phl 2:11; c. dat. pers., to make acknowledgment to one's honour, to praise, give praise to (as in LXX; Kennedy, Sources, 118): Ro 14:11(LXX) 15:9 (LXX); seq. ὅτι, Mt 11:25, Lk 10:21 (Cremer, 771).†

Abbott-Smith References

Liddell-Scott-Jones

ἐξομολογέομαι-έομαι,

confess, τὰς ἁμαρτίας [LXX+NT+1st c.AD+]; admit, acknowledge, μυθογραφίαν [NT+1st c.BC+]; especially in legal formulae, ἐ. εἰληφέναι [Refs 1st c.BC+]; acknowledge, υἱόν [Refs 3rd c.AD+]: absolutely, acknowledge a liability, [Refs 3rd c.BC+]

__2 make grateful acknowledgements, give thanks, sing praises, [LXX+1st c.AD+]
__II later in active, agree, consent, [NT]passive, ἐξωμολογημέναι ἀποδείξεις agreed, admitted proofs, [Refs 5th c.BC+]

_{LSJ Scripture Refs: LXX.Dan.9.20 ☩ Matt.3.6 ☩ Phil.2.11 ☩ LXX.2Kgs.22.50 ☩ Matt.11.25 ☩ LXX.Gen.29.35 ☩ Luke.22.6}