One ostensibe philosophical complication with radio-carbon dating would be that if one were to assume non-uniform rates of isotope decay, the assumption - in order to maintain that the samples in question are actually younger than they appear - would be that decay rates were FASTER years ago. (I'll explain why this is philosophically problematic real soon).
That suggests we entertain a hypothetical and is dead in the water, since it is merely side stepping that actual facts that we need compare with what Genesis says.
It seems better for Bible believers to utilize modern knowledge as supporting information for Genesis.
For instance, the Geologists use to ways to classify the rock layers which he date with their tools such as Radiocarbon testing.
One classification system is a mere listing of the many layers and subdivisions of rock found one place overthe last from bottom up.
This called the Chronostratigraphic Charting and it uses the suffixes of eon, era, etc to tell us how old that particular layer of rock is, but does not separate the layers into divisions which note the timing of distinct biological and geologicalevents like meteoric impacts and devastating mass extinctions. It merely identifies every subdivision without reference to the grouping of six layers according to these major events.
The second method of classification (above) is called Geochronological Classification, and organizes the many rock layers into six groups based upon actual catastrophic geological events that end one duration of time and begin the next.
Excerpt: "The geologic time scale provides a system of chronologic measurement relating stratigraphy to time, i.e.; The Geochronological Chart, that is used by geologists, paleontologists and other earth scientists to describe the timing and relationships between events that have occurred during the history of the Earth."
1. Formative/Cosmologic Era-Hadean Era/ = First Day