Your rendering is ambiguous since you didn't use parentheses to clearly define what is in your exponents and what is not, but I'm going to assume that the following is what you meant since the following is the only interpretation that has an algebraic solution:
Take the base three log of both sides:
Use to write:
But since and
Now all you have to do is distribute, collect like terms in the RHS to put the quadratic into standard form, and solve by any convenient means. I would use the quadratic formula myself.
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
