i know its probably useless to you now, but try this:
let x=0.011t
4.4e^x = 3e^2x
4.4=3e^2x/e^x
3e^x=4.4
x= ln (4.4/3)
but x=0.011t
so t = ln(4.4/3)/0.011
hope that made sence...
theres probably an easier way to do it.. without using substitution but thats just how i do it.