Mailed acknowledgment for membership

We are an arts museum and I'm developing our acknowledgment policy. What is your acknowledgment policy for online memberships and membership renewals? Do you only respond via email or do you send a written acknowledgment also? If you do a written, is it for all levels? I'm thinking it's good donor stewardship but I've also heard that we should communicate via the channel that the donor/member communicated. So if they made their commitment online, only respond online. I greatly appreciate sharing what your practice is.