At least, as a possible customer, that is one of my biggest concern.
But maybe I'm just too focused on security given that our clients ask us about it pretty much every day. So as a possible vendor (for us or other SaaS businesses) and being part of our chain of trust, I'd expect some words on how you handle security and how much it is important for you. That is lacking on the website if I'm correct.
Anyway, congrats on the service! I think that there is room for LogDNA in the logging-warehousing market