I have always thought they were, but after talking to someone tonight via the phone, they confronted me with the idea that Lucifer wasn't Satan. That took me completely by surprise. I read in Isaiah 13-14, but I am still not convinced by what he told me. What are your thoughts?
It could be based on the Bible translation he is using. Most of the modern versions change the text in Isaiah 14:12 to read "day star" which matches the day star referring to Christ in 1 Peter 1:19.
But Lucifer was his name (light bearer) and Satan is more of a title (deceiver) but there is no question that he is both, Satan and Lucifer (in addition to a few other names, Beelzebub, Dragon. Leviathan [once my "fans" show up and make fools of themselves in trying to refute that Leviathan is Satan, I'll show the Biblical support for it] etc..).
But if you are already familiar with Isaiah 14 and Ezekiel 28, Revelation 12, then that's all you need. Paul said in 2 Cor 11:14 that it was no marvel that Satan himself is transformed as an angel of light, and since Lucifer means light bearer, doesn't take much to times one and one together.
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The Corrupt Modern Translations That Use The Same Title For Jesus And Satan
ASV
How art thou fallen from heaven, O
day-star, son of the morning! how art thou cut down to the ground, that didst lay low the nations! Isa 14:12,
And we have the word of prophecy made more sure; whereunto ye do well that ye take heed, as unto a lamp shining in a dark place, until the day dawn, and the
day-star arise in your hearts: 2 Peter 1:19
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ESV
How you are fallen from heaven, O
Day Star, son of Dawn!How you are cut down to the ground, you who laid the nations low! ESV
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NASB
How you have fallen from heaven,O
star of the morning, son of the dawn!
You have been cut down to the earth,You who have weakened the nations! Isa 14:12
o we have the prophetic word made more sure, to which you do well to pay attention as to a lamp shining in a dark place, until the day dawns and the
morning star arises in your hearts. 2 Pet 1:19
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NIV
How you have fallen from heaven,
morning star, son of the dawn! Isa 14:12
We also have the prophetic message as something completely reliable, and you will do well to pay attention to it, as to a light shining in a dark place, until the day dawns and
the morning star rises in your hearts. 2 Peter 1:19