log
y(x) + log
x(y) = 43
What are the values of x and y?
There are an infinite number of solutions in which this does not work either, as negative x's and y's do not work.
I can think of two integer/special solutions. One is x=1, y=1 and the other is x=0, y=0. Plugging those into the equation (using any two powers that add to 43) will work. However this is sort of cheap.
x=-1, y=-1 would be another integer solution, if 43 wasn't an odd number...
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