EXPONENTIAL CHALLENGE

[@Sekar-888]

Is there other method Sir?
(k-1)^k=32^2
let k-1= y,k=y+1
y^y+1=32^2
y^y.y^1= (8.4.8.4)
y^y.y^1= 4.4.64=(4.4.4.4.4)
y^y.y^1= 4^4.4^1
y^y= 4^4, y^1= 4^1
y=4,y=4
K-1= 4
k= 4+1= 5//