mysqlbinlog: command not found

Have You tried accessing the binary with the full path?

Maybe Your $PATH variable doesn't contain the default paths? echo $PATH should give something like:

[root@server ~]# echo $PATH
/usr/local/sbin:/usr/local/bin:/sbin:/bin:/usr/sbin:/usr/bin:/root/bin

If it's empty, You may set the PATH variable with this command

export PATH="/usr/local/sbin:/usr/local/bin:/sbin:/bin:/usr/sbin:/usr/bin:/root/bin"

On CentOS possible default full paths are:

/usr/bin/mysqlbinlog - from package: mysql55w
/usr/bin/mysqlbinlog - from package: mysql

You may install the required package with command yum install {package}

On Debian possible default full paths are:

/usr/bin/mysqlbinlog - from package: mariadb-server-10.0
/usr/bin/mysqlbinlog - from package: mysql-server-5.5

You may install the required package with command apt-get install {package}
Error in other languages:
mysqlbinlog: bevel nie gevind nie
mysqlbinlog: comandă negăsită
mysqlbinlog: comando não encontrado
mysqlbinlog: commande introuvable
mysqlbinlog: command not found
mysqlbinlog: käsku ei ole
mysqlbinlog: không tìm thấy lệnh
mysqlbinlog: komanda nerasta
mysqlbinlog: Kommando nicht gefunden.
mysqlbinlog: kommandot finns inte
mysqlbinlog: komut yok
mysqlbinlog: nie znaleziono polecenia
mysqlbinlog: níor aimsíodh an t-ordú
mysqlbinlog: no se encontró la orden
mysqlbinlog: no s'ha trobat l'ordre
mysqlbinlog: opdracht niet gevonden
mysqlbinlog: parancs nem található
mysqlbinlog: perintah tidak ditemukan
mysqlbinlog: príkaz nenájdený
mysqlbinlog: příkaz nenalezen
mysqlbinlog: команда не найдена
mysqlbinlog: командата не е открита
mysqlbinlog: 命令找不到
mysqlbinlog: コマンドが見つかりません