howto build a server log on linux

Hello experts, I want to make a server log on linux to protect, to keep in another place the logs from all the linux servers I have  in my network.
I would like someone to give me a direction, tutorials, articles... something to help me to do that.
I dont´t have a clue on how to start.
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What flavor of Linux are you using?

Here are some instructions for setting up remote logging on Ubuntu.  It is basically the same on Red Hat variants except you have to use yum to install instead of apt-get.

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rsyslog is very slow. syslog-ng can capture at much higher rate.
zakaria ANBARICommented:
a free set of tools easily managed and lets you handle logs of a lot of machines of any load with no trouble:
the set is called ELK: (Elasticsearch, Logstash, Kibana)
these 3 softwares are the evolutionary  OpenSource tools to manage logs
you can find a lot of video tutorials on youtube and articles on how to set your first search server using ELK
if you need more help, don't hesitate
iguimarfernandesAuthor Commented:
Thank you all experts for your help.
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