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

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

Archive

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