mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

x to the power of x

If \(x^{x^{x^{x^{...}}}}\) [\(x\) to the power of (\(x\) to the power of (\(x\) to the power of (\(x\) to the power of ...))) with an infinite number of \(x\)s] is equal to 2, what is the value of \(x\)?

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths IV,
puzzles about algebra, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021

Advent calendar 2020


List of all puzzles

Tags

sport consecutive numbers surds range pascal's triangle sets proportion shapes volume axes numbers elections dice polygons games christmas digits combinatorics chalkdust crossnumber 3d shapes quadrilaterals folding tube maps sum to infinity determinants advent matrices routes 2d shapes polynomials shape coordinates wordplay square roots taxicab geometry books speed cards median consecutive integers chess hexagons cryptic crossnumbers sequences multiples planes dates percentages spheres geometric mean geometry crossnumber factorials cryptic clues crosswords tangents pentagons sums area gerrymandering decahedra differentiation triangles perimeter regular shapes arrows crossnumbers even numbers odd numbers mean unit fractions graphs square numbers fractions chocolate parabolas number colouring lines trigonometry quadratics coins triangle numbers division grids factors circles binary probabilty digital clocks symmetry digital products people maths ellipses rectangles squares star numbers tournaments angles addition calculus products floors tiling functions balancing perfect numbers remainders doubling dodecagons probability ave prime numbers partitions indices irreducible numbers albgebra palindromes money multiplication cube numbers integration rugby cubics expansions clocks averages scales complex numbers algebra the only crossnumber means menace bases time logic geometric means dominos integers

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2024