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Output from the scripts and algorithms you have run will be logged here, alongside any notices outputted by the Workbench. So that only the information most relevant to you is displayed, you are provided with 5 logging levels (in ascending order of priority):
Any log message with a priority higher or equal to the selected level will be displayed. To distinguish between priority levels each one has an associated colour, as shown in the top-right figure.
To further filter what log messages are displayed, you are given the options to:
Any warnings or error messages will always be displayed once, regardless of filtering settings.
To select your logging level and set your filtering settings, right-click inside the message window.