How doth Christ execute the office of a priest?

Christ executeth the office of a priest, in his once offering up of himself a sacrifice to satisfy divine justice, and reconcile us to God, and in making continual intercession for us.

And inasmuch as it is appointed for men to die once and after this comes judgment, so Christ also, having been offered once to bear the sins of many, will appear a second time for salvation without reference to sin, to those who eagerly await Him. ~ Hebrews 9:27-28 (NASB)

Therefore, He had to be made like His brethren in all things, so that He might become a merciful and faithful high priest in things pertaining to God, to make propitiation for the sins of the people. ~ Hebrews 2:17 (NASB)

Therefore He is able also to save forever those who draw near to God through Him, since He always lives to make intercession for them. ~ Hebrews 7:25 (NASB)