Something I noticed...
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Yes, you're right. Forgot to mention I was just thinking about the positive quadrant.scott1328 wrote:There is a third intersection when A is even and x is negative.
"Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk"
LjSpike wrote:I was bored in maths (we were doing some generic fractional powers and negative powers)...so my mind wandered a bit, and I came up with:
A^B > B^A when A < B.
With the exception of A being 2 and B being 4, which both answers result in 16.
(So in reality it'd be A^B >= B^A when A < B).
I was wondering if there were any other numbers which this happens for, I've tried 1&2, 3&9 and those didn't work. Anyone know any which do?
Veida wrote:LjSpike wrote:I was bored in maths (we were doing some generic fractional powers and negative powers)...so my mind wandered a bit, and I came up with:
A^B > B^A when A < B.
With the exception of A being 2 and B being 4, which both answers result in 16.
(So in reality it'd be A^B >= B^A when A < B).
I was wondering if there were any other numbers which this happens for, I've tried 1&2, 3&9 and those didn't work. Anyone know any which do?
Well, if A=0 then the inequality does not hold.
Thommo wrote:As already pointed out loads of exceptions as soon as you allow negatives. Quite obvious when you think about the sign flipping of multiplying negative numbers by themselves repeatedly.
Thommo wrote:Oh, and happy birthday!
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