Can you solve this equation

(e^(sqrtx)-1)/8 = 1/2

i guess:
e^(sqrtx)-1 = 4

e^(sqrtx) = 5
take ln for both sides

ln( e^(sqrtx) ) = ln5

(sqrtx)* ln e = ln5

(sqrtx) = ln5

square both sides

x = 2ln5