Answer:
1.62
Step-by-step explanation:
6e^(0.25t) = 9
e^(0.25t) = 1.5
0.25t × lne = ln1.5
0.25t = 0.4054651081
t = 1.6218604324
t =1.621860432
6e^0.25t = 9
Divide each side by 6
6/6e^0.25t = 9/6
e^0.25t = 3/2
Take the ln of each side
ln e^0.25t = ln (3/2)
.25t = ln (3/2)
Divide each side by .25
.25t/.25 = 1/.25 ln (3/2)
t = 4 ln (3/2)
You meant pi, pi is a irrational number, but they use 3.14 for approximation, so that is your answer.
Hope this helped!
Nate
