I\'ve been reading up on the benefits of salting and hashing passwords, but one thing still eludes me...
When I provide a random salt for each user, how do I then know
It doesn't defeat the purpose of the unique salt to store it. The point of a unique salt is to protect your entire users repository from attack, not a given individual user. If an attacker compromises your database and is determined enough to crack a particular user's account, they will. There's nothing we can do about this. But they would have to spend an inordinate amount of computer time doing so - enough that it would not be feasible to spend that much time on each user - thus protecting all your users. Contrast this with using the same salt for all users - once the attacker has the salt, the same tables/processes can be re-run against every user in a relatively short time.