I don't think it's correct for you to compare your work to the logo designer. You don't know their skill level you don't know the interactions with the client y

I don't think it's correct for you to compare your work to the logo designer. You don't know their skill level you don't know the interactions with the client you don't know if that two weeks was two weeks of them working or two hours of them working but it was delays and communication to deliver it. Instead you should bill based upon what you believe is a reasonable and fair price for your time and your skill level. Both of those strongly equate to the work delivered. It doesn't matter how much the logo designer earned it matters what is a fair and reasonable price for your skill level and the time it took you to deliver the project.