已知:x^x = 2^2048,求x

已知:

x^x = 2^2048

求x.

2^2048 = 2^(2*1024) = (2^2)^1024 = 4 ^ 1024

以此类推:

2^2048 = 4 ^ 1024 = 16 ^ 512 = 256 ^ 256

x=256