If you provide me with the logo (hopefully as an Illustrator file, but I can work with others too), it should not take me long to make a nice, clean animation in Adobe After Effects with it. This is a simple job, and I like animating, so I think $7 is reasonable for me to receive after the $5 Freelancer fee.
I have experience working with a local studio, mainly creating graphics in After Effects, so I am confident I can make something you would be happy with. This is my hobby, not my primary job, so I work to make something to be proud of, not to just get a pay check.