Question

Solve 6 times e^0.25t = 9 for t

Answer 1

1.62

Explanation:

6e^(0.25t) = 9

e^(0.25t) = 1.5

0.25t × lne = ln1.5

0.25t = 0.4054651081

t = 1.6218604324

Answer 2

t =1.621860432

Explanation:

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)

t =1.621860432