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This month: Stage 1&2Stage 2&3Stage 3&4Stage 5switch to US educational language

How Many?

Problem | Teachers' Notes | Hint | Solution | Printable page |
Stage: 5 Challenge Level: Challenge Level:1

Find all solutions to

$x = (\sqrt{2})^x $.
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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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