2y = 3 does not involve either logs or exponential functions; are you sure you've copied it down correctly? Perhaps you meant 2^y = 3.
log 3
If that's the case, take the log of both sides: y log 2 = log 3, so that y = -----------
log 2
If you were to graph y = log x, you could approx. the value of log 3 and that of log 2, divide log 3 by log 2, and then label your result with "y=".