"... I won't be using modules ..."

I not certain what you're getting at here. The link to File::Glob was for documentation to read, not a module to use. The link to glob() explains this. Besides, you're already using three modules: 

use strict;
use warnings;
use POSIX 'strftime';

[download]
"... is there anyway anyway to get the file name as well?"

The filename that -f operates on? The filename that /\.log$/ is attempting match?

-- Ken

In reply to Re^5: Opening multiple log files by kcott
in thread Opening multiple log files by hahazeeq

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