"Electric" acoustic guitars fall into two broad camps. Active and passive.
Actives need an onboard, usually PP3 9V, battery (and some can be a reeet PITA to swop so fit a super long life Lithium, worth the tenner!) but the guitar will come out, usually as said, on 1/4" jack and at a more than enough level to drive a mixer line in or an AI.
Passive are just a piezo-electric pickup, usually under the bridge saddle. These often exit via a 1/8" (ugh!) jack and must feed a specialized pre amp the main property of which is a very high input impedance of 5 to10 meg Ohms, go into a conventional 1 meg amp or lower and the guitar will sound thin and scratchy. No AI to my knowledge has such a high Z input and the only mixer is the A&H Zed series.
But it is generally thought that a pickup of any kind for acoustics is a very second class way to record them. We have a £600 Turner/Fishman setup but micing up is still prefered. Keep a small D capacitor (better two!) in mind for really good "tone"!
Dave.