(sqrt(ln(x)))/(ln sqrt(x))=6

Think I did this already

√lnx / ln√x = 6
√lnx = 6 ln√x
√lnx = 3lnx
lnx = 9 ln^2(x)
lnx = 0 or lnx = 1/9

so, x=1 or x = e^(1/9)
x=1 is out, since we can't divide by 0
so, e^(1/9) is the only answer