mscroggs.co.uk
mscroggs.co.uk

subscribe

Sunday Afternoon Maths IV

 Posted on 2014-03-16 

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

i to the power of i

If \(i=\sqrt{-1}\), what is the value of \(i^i\)?

Show answer & extension

arccos + arcsin

What is the value of \(\arccos(x) + \arcsin(x)\)?

Show answer & extension

If you enjoyed these puzzles, check out Advent calendar 2025,
puzzles about xor, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026