I am having difficulties understanding how to solve the following problems:
1) Express as a single logarithm and, if possible, simplify:
The book shows the answer as:
I understand how the turns into , but how does the in turn into ?
2) Express as a single logarithm:
Since #1 is similar to #2, I am unsure on how to correctly solve this problem.
3) Find the inverse function of:
When I do the math, it shows that the inverse function is exactly the same as the original function? How is that possible?
I would appreciate it greatly if you could answer the questions above step-by-step.