This console message indicates that init(1M) cannot write in the /var directory, which is usually part of the / (root) file system. Some other messages follow, and the system usually comes up single-user. The problem is often that / or /var is mounted read-only. Sometimes a brief power outage leaves the system believing that many file systems are still mounted.
If /var is a separate file system on the machine and is not yet mounted, mount it now. If the file system containing /var is mounted read-only, remount it read-write with a command similar to this:
# mount -o rw,remount /