loudspeaker impedance

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Good day,

I have a simple question, I think. I have searched the site for the answer but could not find it.

If you have an 8ohm speaker load and feed it 100W of power you get 20dbW. Now when you feed a 4ohm speaker 200W you again get 20dbW. So unless I am mistaken (which I probably am) that is the same listening level. My question is why would anyone want a low impedance speaker? Thanks.
 
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