Stage: 5 Challenge Level: 
Find all solutions to
$x = (\sqrt{2})^x $.Mathematical reasoning & proof. Index notation/Indices. Number theory. Powers & roots. Dynamical systems. Inequality/inequalities. Patterned numbers. Visualising. Graphs. Manipulating algebraic expressions/formulae.
Published November 2000.
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email: nrich@damtp.cam.ac.uk
