ln equation solving problems?

Question

How do you solve 3e^2t = e^-2t

Answer 1

In general, use logarithms to solve problems when the variables are in the exponents. In this case, since you are dealing with powers of e, use natural logs. So ln[3*e^2t] = ln[e^-2t],

ln(3) +2t = -2t

solve for t,