SOLUTION: x^logy + y^logx = 2 x^logx + y^logy = 11 find x = ?, y = ?

Question 1210352: x^logy + y^logx = 2
x^logx + y^logy = 11
find x = ?, y = ?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.
x^logy + y^logx = 2
x^logx + y^logy = 11
find x = ?, y = ?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~

One solution is x = 10, y = 1.

Another solution is x = 1, y = 10.

The method of finding the solutions is trial and error.

To check the solutions validity, substitute the values into equations.

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