I vaguely remember back during my university days, the Discreet Math professor proved mathematically that base e=2.71828... was most efficient. And concluded th

I vaguely remember back during my university days, the Discreet Math professor proved mathematically that base e=2.71828... was most efficient. And concluded that the optimal base would that of 3 or 2. Unfortunately, I no longer remember the basis of his argument, nor the entailing proof.