Final answer:
The statement that the universe is about 13.8 billion years old is logically valid.
Step-by-step explanation:
The statement logically valid is that the universe is about 13.8 billion years old.
According to current cosmological models, the universe began with the Big Bang approximately 13.7 billion years ago, which aligns with the age of the universe. Astronomers have traced the expansion of the universe backward in time and determined its age to be around 13.8 billion years.
Therefore, the statement that the universe is about 14 billion years old is not logically valid as it is not supported by scientific evidence.