There are actually very few of the old arguments against a young earth that have held up under the investigation of real science. One of the only arguments left is based on distant starlight.

If we assume that God was not almighty and that He created the universe by natural means, then starlight from stars billions of light years away would necessarily take billions of years to get to earth, wouldn't it? But God is almighty. And God didn't use natural means when He created everything from nothing. How could He?

By the way, Dr. Jason Lisle from Answers in Genesis explains that there are many things that we have learned about the way that time and light work in the natural that could account for this. In other words, God might have used natural means. He didn't have to, though. And the problem of distant starlight is, at present, an insurmountable problem for those who believe in billions of years, but Theistic Evolutionists rarely bring that up. Perhaps they are ignorant of the fact. The Secular universities usually filter this fact out of their courses.  Resources on Answers in Genesis do allude to this problem that the evolutionistic scientists have with distant starlight.

"Black holes provide an observable confirmation of Einstein’s theory of general relativity. Such physics is the basis for several young-universe cosmologies, which allow light from the most distant galaxies to reach earth in thousands of years or less."  Dr. Jason Lisle, http://www.answersingenesis.org/articles/am/v3/n1/black-holes-evidence