This may be reasonable or unreasonable. There is one thing to consider here. Does owning $10 billion have any advantages over owning $1 billion? The answer is no if you only care about "living well". So is owning 10 billion billion dollars more proud than owning 1 billion billion dollars? The answer is still no if you only care about becoming the richest person in the world.
The application of logarithms is also not a good model for representing poverty because it implies that losing 90% of your last million is as unfortunate as losing 90% of a cent. Finally in your pocket. This sounds really odd.
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