Exponential and Logs Equation, help please.

Can you solve this problem for me?
9^x = Squareroot of X

Step by step please.
I'm stump...
My attempt:

-xLN9 = LNsquareroot of X

x = -LNsquareroot of X - LN9.

Then it just didn't make sense from there.

There is no algebraic solution. The result is in terms of the Lambert W function

-W(-2ln(9))/2ln(9) = -0.17 - 0.44i (approximately)