There is definitely a standard procedure for solving such problems. We already know a formula that
loga x = y
implies
a ^x = y
Now getting to the problem in hand, we can write it as
9^x = 27
(3^2)^x = (3)^3
(3)^2x = (3)^3
Then
2x = 3
x = 3/2
I hope that the procedure is clear enough for you to understand. I also hope that this is the answer that has actually come to your desired help.