solve for x
((sqrt(lnx))/(ln(sqrt(x))))=6
√(lnx) = /ln(√x) = 6
√(lnx) / (1/2 lnx) = 6
1/√(lnx) = 12
1/lnx = 144
lnx = 1/144
x = e^(1/144)
check:
√(1/144) / (1/72)
1/(1/12) / (1/72) = 72/12 = 6
((sqrt(lnx))/(ln(sqrt(x))))=6
√(lnx) / (1/2 lnx) = 6
1/√(lnx) = 12
1/lnx = 144
lnx = 1/144
x = e^(1/144)
check:
√(1/144) / (1/72)
1/(1/12) / (1/72) = 72/12 = 6