There is an easy solution for this if you are running OBS on the Windows platform.
You will need to create a .bat file (I called mine Start_OBS.bat and in that file, place the below text.
cd "C:\Program Files\obs-studio\bin\64bit\"
start "OBSSTUDIO" "C:\Program Files\obs-studio\bin\64bit\obs64.exe"
Once you have that created, I placed mine on my desktop. You can place it where ever your would like.
Follow the below instructions to assign it to a Quick Keys Button.
I selected Button 8 to press when I wanted to start OBS.
 Select your Quick Keys from the left-hand navigation. If you only have the Quick Keys, that will be your only select option.
 Click the button you want to assign the action to. In this case, it is button 8 - it is hard to see that.
 Select Application,  choose Open/Run from the menu.
In the Application selection menu , Browse
This will open the file explorer, and you will need to  navigate to the DeskTop or the location in which you placed the .bat file.
 Once in the folder, you will need to change the file type to All Files. By default, it is set to .exe.
 Select the .bat file
 Once selected, it will appear in the File name viewer.
 Select Open
 This shows you the file location.
 It auto assigns a name that will be displayed on the Quick Keys OLED.
 Select Ok, and this will complete the setup.
This shows the setup on the OLED for  button 8 that will open the OSB application when pressed.