I know it is very important to capture the meaning of the company / website into the logo.
This is false. A logo doesn't have to do any of that. In fact, it's usually not fair that it carry that burden.
Rather, a logo is simply a way to uniquely identify your company or product. What your company or product does is communicated by a much larger collection of branding elements above and beyond the logo itself.
The oft-quoted Paul Rand is worth quoting yet again:
A logo is a flag, a signature, an escutcheon.
A logo doesn’t sell (directly), it identifies.
A logo is rarely a description of a business.
A logo derives its meaning from the quality of the thing it symbolizes, not the other way around.
A logo is less important than the product it signifies; what it means is more important than what it looks like.