Solve this..?

X^Y + Y^X = 100000
(X to the power Y + Y to the power X = 100000 )
Find X & Y?

Answer:
One answer, didn't bother to check if it is the only answer
x=99999
y=1

99999^1=99999
1^99999=1

1+99999=100000
X
This equation has an infinite number of solutions:
approx(x,y) =
1,99999
2,16.7
3,10.5
...
MANY SOLUTION

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