Does anyone know how to go about solving a problem ln(a) = e^x algebraically? For example, the problem ln(5/4) = e^2x.

My teacher somehow got it to be 2x = ln(5/4) but I don't really understand how she got there. Can anyone explain? Thank you so much!

The number if marbles of different colors stored in a hat is listed below: 4 red marbles 10 green marbles 7 blue marbles. without looking in the hat, dan takes out a marble at random. he replaces the marble and then takes out another marble from the hat. what is the probability that dan takes out a blue marble in both draws?