Confession is a second reserve against hell after Baptism

Therefore, since you know that after the first bulwarks of the Lord’s baptism there still remains for you, in exomologesis a second reserve of aid against hell, why do you desert your own salvation? Why are you tardy to approach what you know heals you?

Tertullian
On Repentance
Chapter XII

Confession is on the knees before other Christians who stand in Christ’s stead

In a company of two is the church; but the church is Christ. When, then, you cast yourself at the brethren’s knees, you are handling Christ, you are entreating Christ. In like manner, when they shed tears over you, it is Christ who suffers, Christ who prays the Father for mercy.

Tertullian
On Repentance
Chapter X

By confession repentance is born

The narrower, then, the sphere of action of this second and only (remaining) repentance, the more laborious is its probation; in order that it may not be exhibited in the conscience alone, but may likewise be carried out in some (external) act. This act, which is more usually expressed and commonly spoken of under a Greek name, is ἐξομολόγησις , whereby we confess our sins to the Lord, not indeed as if He were ignorant of them, but inasmuch as by confession satisfaction is settled, of confession repentance is born; by repentance God is appeased.

…All this exomologesis (does), that it may enhance repentance; may honour God by its fear of the (incurred) danger; may, by itself pronouncing against the sinner, stand in the stead of God’s indignation, and by temporal mortification (I will not say frustrate, but) expunge eternal punishments.

Tertullian
On Repentance
Chapter IX

Luther exhorts his flock to private confession

So if there is a heart that feels its sin and desires comfort, it has here a sure refuge where it finds and hears God’s Word because through a human being God looses and absolves from sin….We urge you, however, to confess and express your needs, not for the purpose of performing a work but to hear what God wants to say to you. The Word or absolution, I say, is what you should concentrate on, magnifying and cherishing it as a great and wonderful treasure to be accepted with all praise and gratitude. …

Thus we teach what a wonderful, precious, comforting thing confession is, and we urge that such a precious blessing should not be despised, especially when we consider our great need. If you are a Christian, you need neither my compulsion nor the pope’s command at any point, but you will force yourself to go and ask me that you may share in it. However, if you despise it and proudly stay away from confession, then we must come to the conclusion that you are not a Christian and that you also ought not receive the sacrament [of the Altar]. For you despise what no Christian ought to despise, and you show thereby that you can have no forgiveness of sin. …

If you are a Christian, you should be glad to run more than a hundred miles for confession, not under compulsion but rather coming and compelling us to offer it. For here the compulsion must be reversed; we are the ones who must come under the command and you must come in freedom. We compel no one, but allow ourselves to be compelled, just as we are compelled to preach and administer the sacrament.

Therefore, when I exhort you to go to confession, I am doing nothing but exhorting you to be a Christian….For those who really want to be upright Christians and free from their sins, and who want to have a joyful conscience, truly hunger and thirst already.

Martin Luther
Book of Concord: A Brief Admonition to Confession