"there are two obvious problems with radioactive dating for geological purposes: 1) uncertainty about the composition of the original sample and 2) possible losses of material during the time span of the decay."
The original composition question is the bigger issue but it introduces uncertainty of only a few percent. Radioactive dating correlates almost perfectly with items where the age is known for some other reason - like things made in Roman times and stamped with a date.
Since Radioactive dating places the age of some rocks in the billions of years a small percentage error (or even a large percentage error) would still have the age in the billions of years.
And unlike evolution this is something that can be done in a lab and the technique can be taught in an afternoon.
The only way I have ever heard to reconcile this with the bible is that God purposely set out to test out faith by making billions of different objects all have the radioactive signature of being much old - it would have to be a deliberate and large scale trick by God.
Things made in Roman times don't go back billions of years.
I didn't realize the Bible stated how old the earth is. Where is that information, please?