Which expression results when the change of base formula is applied to log4 (x + 2)?

You haven't shared the possible answers, so the best I can do (which is very good!) is to assume we want to change from base 4 to base 10 and then apply the change of base formula.

Given log-to-the-base-4-of (x+2), we want log-to-the-base-10 of (x+2).  Following the change of base formula,
                                                log-to-the-base-4-of (x+2)
log-to-the-base-10 of (x+2) =
                                                  log-to-the-base-4-of-10