Let your Tap water stand overnight in a shallow bowl and then re-test. Most tap water will stabilize a bit (or even a lot) higher than it tests immediatly from the tap. If your tap ends up being significantly lower than the tank, then multiple low volume water changes could adjust it but you should still look for the cause of the increase in pH. Natural process usually lower pH so something in the tank has to be raising it if the tap water isn't that high.
Either way, take it slow and careful, 8.4 really won't hurt much, but rapidly changing solids or mineral levels could cause trouble.
dave