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I would achieve this using Computed field Module.


Install Computed field module
Create a new field of type computed
In the field settings, On the Computed code (PHP) 

$entity_field[0]['value'] = $entity-&gt;log;
Now in manage display make this computed field visible. That's it.


Note: This is just one way of achieving it.

Instead of installing any modules, You can also write tpl file for the particular content type and display the log message.