Using each of the digits 2, 3, 4 and 5 only ONCE, plus one "+" sign, and one "=" sign, can you write a correct equation?

In addition to the almost obvious where the number 2 is superscripted as an exponent (3² = 3*3 = 9):

4 + 5 = 3²
5 + 4 = 3²
3² = 4 + 5
3² = 5 + 4
   
there are additional solutions, such as where the number 4 is subscripted as a radix with the other two numbers defaulting to base 10 (2₄ = 2₁₀ = 2) & (3₄ = 3₁₀ = 3) [which is the usual default for a number with no given radix]:

2 + 3₄ = 5
2₄ + 3 = 5
3 + 2₄ = 5
3₄ + 2 = 5
5 = 2 + 3₄ 
5 = 2₄ + 3 
5 = 3 + 2₄
5 = 3₄ + 2 

Posted by Dej Mar on 2008-01-20 03:15:47