Answer:
496.8926
Step-by-step explanation:
20 = 100(1/2)^(t/214)
Divide both sides by 100
20/100 = 100(1/2)^(t/214) / 100
1/5 = (1/2)^(t/214)
log((1/2)^(t/214) = log(1/5)
(t/214) x log(1/2) = log (1/5)
(t/214) = log (1/5)
÷ log (1/2)
t/214 = 2.321928
(214) x (t/214) = (214) x (2.321928)
t = 496.892592
I hope this helps!
