We believe that when God created Adam, he created him with apparent age. That is, created him as an adult, rather than as an infant, or even a single living human cell, that had to grow to adulthood.

If God can do that with Adam, he can do that with the entirety of the universe, creating it with the appearance of age and history, the same way an author creates the characters and setting of their book with a back-story that may or may not ever be mentioned within the pages of that book.

Also, a lot of the events we think must have happened billions of years ago may be made on bad assumptions about how to judge time and the fossil record.