Ai G author Mike Riddle addresses this very question in an article entitled Doesn't Carbon-14 Dating Disprove the Bible?
The article begins with a simplified explanation of the radiocarbon method.
vnc viewer screen not updating - Radiometric dating diamonds
The resulting rock strata may harbor fossils from a particular habitat area or ecosystem, but do not represent a particular age or era.
Why else do we find marine fossils on the tops of all the major mountain ranges?
“I felt it was one of those days…when something terrific might happen.” Ignoring the already scorching heat and the mountain of paperwork on his worktable, Johanson hopped in a Land Rover with Gray and made the four-mile journey to a gully on an ancient, dried out lakebed.
Before he left, he made a brief note in his journal: “To Locality 162 with Gray in AM.
The third point is most relevant to our discussion, since it results in 'both sides' affirming the accuracy of radiocarbon dating for any 'recent' samples (as opposed to nearly any other method, which must be discounted in all cases by anyone that believes in a young Earth).