The end of Hebrews 4 informs us that Jesus is our Great High Priest and then the chapter ends. Hebrews 5 tells us why he is a better high priest than the Levitical priests of the Old Covenant. The high priests called by God to the priesthood were human beings and had the same shortcomings as the people they ministered to. They had their own sins to confess and be forgiven before they could attend to the sins of others. The Christ is God’s own Son and also a priest forever after the order Melchizedek. Abraham was blessed by Melchizedek in Genesis 14 and Abraham gives him a tenth of everything he has. This is centuries before the Law was given to Moses. The Levitical priesthood had not been established and there was no commandment, at least none recorded, to give a tithe. Genesis will not answer all of our questions. There is no recorded beginning nor ending of Melchizedek’s priesthood and this little detail is used to show what kind of high priest Jesus will be. There is no beginning and no end to his priesthood. He does not have his own sins to sacrifice for, and he is not called by God but is God’s own Son. Although he was the only begotten Son, through suffering in his mortal flesh he learned obedience.
The final verses of chapter 5 is a chastisement to an audience that should be eating “spiritual food” as mature believers but must still be given milk as infants. Hebrews will get to comparing Jesus to Melchizedek in a couple of chapters and list more ways in which he is greater.
The first two things we would typically do when beginning a study of a book of the Bible is identify the writer and the audience he was addressing. That’s usually easy to do by reading the first paragraph or two. Sometimes we need to add historical context in order to understanding what was happening in the lives of the intended audience. I’m going to try to keep this introduction short and get into Hebrews chapter 1 instead of dedicated a post to it. I don’t know who wrote Hebrews. If you believe the Apostle Paul wrote Hebrews, I’m not going to argue with you. As a well-studied and passionate Pharisee he would have certainly had the background into the Old Covenant. We also see numerous examples in his epistles that relate the ministry of Christ to the Old Testament examples, descriptions of Jesus and Adam as types of first men, and exhortations that that the grace that comes through Jesus Christ is superior to the Law. If you do not believe that Paul wrote Hebrews then I will not argue with you either. In the 13 New Testament epistles written by Paul he clearly identifies himself as the author and the writer of Hebrews is left anonymous. That would be a divergence from his usual style. I will not engage in any debate over the authorship of Hebrews but will defer a statement many Christians would do well to adopt and apply to a variety of topics: the Bible doesn’t speak to that. If it were important for us to know then God would not have allowed that detail to be lost to history. As far as identifying the audience is concerned it is more than suggested by the title. Hebrews is addressed to Jewish believers that have accepted Jesus as the promised Messiah and offers evidence that this was always God’s plan. 
The Master's Table 