You can check FTP logs for different client using below methods
It keeps track of each FTP command that you execute and the server response.
FTP: You can display the FTP log by placing a check in the View -> Message Log menu. You will notice the log in the upper part of your screen. You can scroll and copy it
CuteFTP: If you are using CuteFTP you will be able to access the FTP log if you click at the "Log Window" tab at the bottom.
Cyberduck ( MAC user): Cyberduck select the View menu and click on the "Toggle Log Drawer" option. This will open a panel at the bottom of the application.