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 2024,
puzzles about multiples, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025