Question

How do you solve `5e^(3t) = 8e^(2t)`?

Answer 1

`t = log_e(8/5)`

Explanation:

After some trasformations we get at

`e^{3t}/(e^{2t}) = 8/5` or `e^t = 8/5`

Solving for `t` we have

`t log_e e = t xx 1 = t = log_e(8/5)`