Isaiah 9 v 6 For unto us a child is born, unto us a son is given: and the government shall be upon his shoulder: and his name shall be called Wonderful, Counseller, The mighty God, The everlasting Father, The Prince of Peace.
If we define the Logos as being the perpetually active, living and infinitely powerful logic or reason of God’s mind then he is no doubt God himself but he knows himself in distinction to God as John 1 v 1 says:
John 1 v 1 In the beginning was the Word, and the Word was with God, and the Word was God.2 The same was in the beginning with God. 3 All things were made by him; and without him was not any thing made that was made. 4 In him was life; and the life was the light of men. 5 And the light shineth in darkness; and the darkness comprehended it not.
The Logos is the Everlasting Father because he is the self-conscious thinker who is simulaneously thinking the thoughts of the Father and his own thoughts. The mind of the Logos and the mind of God are at the same time one and also not one. They are quasi two minds alongside but also one with each other. So the Father and the Son communicate with each other eternally and the prophecy of Isaiah 9 v 6 is fulfilled.