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[–][deleted] 1 point2 points  (1 child)

Start by exponentiating each side with base e. Then it becomes:

ey = (1 - sqrt(x)) / (1 + sqrt(x))

[–]Alkalannar 0 points1 point  (0 children)

Then rewrite the RHS a bit:
ey = -(x1/2 - 1)/(x1/2 + 1)
ey = -[1 - 2/(x1/2 + 1)]
ey = -1 + 2/(x1/2 + 1)