Trying to solve for x

2^(0.5x)= [3^(-0.5x)] + 5/3

I know, the usual, take logs of both sides and bring down the exponent, but I'm having a problem with the RHS of the equation, since I can't take logs seperately, i.e. log(a+b) is NOT equal to log(a)+log(b)

I actually know (graphically) that the answer is x=2, and I know that's correct from substituting. Any ideas on how to approach it (besides trial and error)