bash history log all commands to syslog

.bash_profile

==============================CENTOS 7 ( /etc/bashrc ) =======================================
PROMPT_COMMAND=$(history -a)
typeset -r PROMPT_COMMAND

function log2syslog
{
   declare command
   command=$BASH_COMMAND
   logger -p local1.notice -t bash -i -- $USER : $PWD : $command

}
trap log2syslog DEBUG


==========================================UBUNTU===============================================
# vim ~/.bashrc
PROMPT_COMMAND='history -a >(tee -a ~/.bash_history | logger -t "$USER[$$] $SSH_CONNECTION")'
===============================================================================================
# source ~/.bashrc