Math Is Fun Forum

Hmm I got a solution for this as follows :

We know that a number can be expressed a s a product of its factors.............
10^x can be written as 2^x * 5^x...................and we know the number of factors comes out to be
(x+1)^2 ...................so (x+1)^2=a^b
we can solve this quadratic equation and since b is even we can take the positive square root and hence get the answer