Logs can be set up in all sorts of different applications. Your organisation may have existing tools to manage these items. If so, just ensure they are being used, and that existing issues, risks and actions are recorded in the tool.
If nothing exists, the most straight forward way to set it up is to use Excel. A few sample logs are listed in the templates. You may want to add or delete columns to suit your organisation.
We also include a combined log which would be preferential. In this you have risk and issue logs as separate worksheets. Actions are a third worksheet and each action can be cross referenced to an issue, a risk, or neither.