I do not believe that the world is millions of years old. I do not believe that the world is even hundreds of thousands of years old.
I do believe in the inerrant word of the Holy Bible. When the Bible is read in context God tells us that he created the heavens and the Earth some six thousand years ago.
God is the master of time and space. Why is this belief so important to all human creation? If we question Genesis then the rest of the Bible will be questioned as it is today.
Jesus gives us some clues to the age of the earth in Luke 11: 50. And you of this generation will be held responsible for the murder of all God's prophets from the foundation of the world. Luke 11:51 from the murder of Abel (1st prophet killed) to the murder of Zechariah, who was killed between the altar and the sanctuary. Yes it will surely be charged against you.
Add up the genealogy and it comes to 6,000 years. This is just one example.
You say what about carbon dating. Well actually carbon dating points more to a young earth.
There is just not enough column space to cover everything. Answers in Genesis have many scientific articles concerning many questions that the reader may want to research.
Think of God's global flood as a catastrophic event. Hydro power in a very short time to destroy his once perfect creation that was contaminated by sin.
As always I extend a hand of friendship and witness for my Lord and Savior Jesus Christ.