What's the killer use case or differentiator (vs. loggly+kibana+elasticsearch for example)? With Slack, it is integrations. If you could do something similar, like a bugsnag + new relic that aggregates all of our logs and notifies us when things happen (either individual incidents or aggregates like "nginx error log above 1 event/10s), you can have all my money.
Another idea would be to standardize transactions across the stack, so I could trace a request from nginx through rails/phoenix, to postgresql, etc. Again, take my money.
A better UI only helps me if I know when to look at it or what I'm looking for.