The syslog-ng application is a flexible and highly scalable system logging application that is ideal for creating centralized and trusted logging solutions.

If you need a logging application that

• transfers log messages in a reliable, TLS-encrypted channel;
• is compatible with a wide range of operating systems and platforms, including many Unix-variants and Windows versions;
• can store log messages in encrypted, digitally signed and timestamped files;
• supports the latest IETF syslog protocol standards;
• provides unimaginable flexibility for sorting and managing system events;
• has an enormous user-base;

then syslog-ng is the product you have been looking for. The syslog-ng application comes in three flavours:

• Open Source Edition is the free, open-source branch of syslog-ng
• Premium Edition is a commercial fork of the original open source syslog-ng with several additional features
• Store Box Edition is a central logserver appliance for log-lifecycle management