Find the values of x when,

Question

x raised to the power root x = x
raised to the power x whole under
root.

Answer 1

we want

x^(√x) = √(x^x)
x^(√x) = x^(x/2)
equating the powers,
√x = x/2
x = 4

check:
x^2 = √x^4 - yes