Question

if a is not equal to b

Answer 1

THEN B IS ALSO NOT EQUAL TO A

Answer 2

As is said, this is too long for a comment, but no more substantial.

The related question in Jonas Meyer's comment seems to have settled almost anything involved, except that, as is common, the original person posting never supplied the claimed continued fraction.

I once read a book intended for high-school students that pointed out that

ab=ba

is equivalent to

logaa=logbb

and so any pair can be found by drawing a line through the origin that intersects the curve y=logx and taking a,b as the x-coordinates of the two intersection points. This was given to motivate the idea that the only integral pair is 24=42. Of course there is also the point (e,1) at which the line y=x/e through the origin is tangent to the curve.

Are there any other pairs a,b with both rational?

mark me brainliest !