22x+1^{\sqrt{2x+1}}2x+1 = 32
22x+1^{\sqrt{2x+1}}2x+1 = 25^{5}5
2x+1\sqrt{2x+1}2x+1 = 5
square both sides
2x + 1 = 52^{2}2
2x + 1 = 25
2x = 25 - 1
2x = 24
x = 242\;\frac{24}{2}224
x = 12