if 72dpi was a person it would be a jerk.
All images from websites are usually 72 dpi, so no, we can not take the logo from your website. Unless you dont mind that it looks like a mistake. If you can get a clean high res version of the logo from whoever created it or let us know and we can recreate it for you!
300dpi is a champion.
And this is just text, imagine if it is your art, or an image where detail is a factor. Obviously any graphic designer or artist knows that you need a high resolution image if you are going to reproduce it in any way. Vector is ideal.
We understand that a lot of people arent graphic designers, but usually have someone create their art or logo for them, right? Well whoever does your logo, be sure to get a HIGH RES version for things like screenprinting and any reproduction at all. You will be glad you did!
and so will we.