Yes it is.
Yes. ex-er'-khom-ahee
From G1537 and G2064; to issue (literally or figuratively): - come-(forth, out), depart (out of), escape, get out, go (abroad, away, forth, out, thence), proceed (forth), spread abroad.
Joh 16:27 for the Father Himself loves you, because you have loved Me and have believed that I came out from God.
Pertaining to does fit if used in a certain way and a certain view of the Logos. See not only did the Logos pertain to God the Logos WAS God. If the Logos means "faculty of reason" or "thought" then this pertained to God. Personally I like within as I see the Logos no matter how it get's defined by OPs as something that is internal to God. In fact "as the Father has life IN Himself so has he given the Son to have life in Himself also", In Him was life and the life was the light of men. I am the Way the Truth and the Life...1 John
1Jn 1:1 That which was from the beginning, which we have heard, which we have seen with our eyes, which we have looked upon, and our hands have handled, concerning the Word of Life,
1Jn 1:2 (for the Life was revealed, and we have seen it and bear witness, and show to you the everlasting Life, who was with the Father and was revealed to us),
God is the source of Eternal Life. It's of His very nature
Jesus is the Logos made flesh. He looks back in hindsight and speaks of the "past" in terms of when He was the Logos of God