Let's make this a tad more complicated still.
From "thrust (force) = drag (force)", does it follow that "power (developed by engine) = power (lost due to drag)"? Or, for that matter, is the opposite implication true?
Hint 1: If we stand right behind the aircraft with its engines on take off power with reheat, can we hear the engines? Is it perhaps also a little windy? If we step close enough, or drive a small car behind the aircraft, would anything noteworthy happen?
Hint 2: If we were able to position ourself right behind the engines with the aircraft in cruise (i.e. when thrust force does actually equal drag force), is it likely that the engines would be inaudible and the exhaust would not be felt?
What I am getting at is of course that the engines also do work on other things than the aircraft. Therefore the engine will develop more power than that being lost due to drag, whether induced drag or the other kind.
Edited to add: Great minds think alike...
And some are 1 minute faster than others...
