...(844)3^{t/4}=22788. I know both sides divided by 844 gives 27=3^{t/4} or 3^{3}=3^{t/4} I'm trying to solve for t (Growth over time problem).
You've already done the hard part!
For this sort of
exponential equation, once you've got an equation with the same base on either side of the "equals" sign, just equate the powers, and solve the resulting equation. For instance:
. . . . .
. . . . .
. . . . .
. . . . .
...and so forth.