Do you have an agreement in place?
Is each piece of logo separately paid for?
Does the graphic artist have any share in your business?
Where are the logos used? UK only or other jurisdictions also?
Copyright is territorial. Therefore different jurisdictions have different copyright laws.
In the UK, copy right vests in the owner and lasts for 70 years from the date of death.
As you have commissioned the works, copyright ownership will vest in you.
The uk does not have a formal system of registration although you can do so through the IPO office.
I hope this answers your question. If so, kindly rate the answer and provide feedback.
If you have any further questions, please do not hesitate to ask.
It is covered by the copyright design and patents act 1988.
I hope this answers your questions. If so, kindly rate the answer and provide feedback.