Navigate to the Assets tab in the left hand navigation bar
Select Competitions
Click on the competition for which you want to change the logo. In the below image American Football Festival is the competition
Hover over the competition logo and select Replace
Navigate to where the new logo is located
When happy, select Open or double click on the desired logo
Once selected you will enter the Edit Image section. Position and scale the logo as required
Once happy, hit Save
Hit Save at the next screen and you have successfully changed the competition logo