Making sense of data transformation

#1
So I'm falling behind in AP Statistics. I can't seem to make sense of exponential growth, power transformations, and the logarithm transformation. There are no notes for the lesson, it's an online course so there is no lecture, and the book is just confusing. Can someone give me a better explanation? I seem to have developed a block to it in my brain. :confused:
I would appreciate it very much :D