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Well, actually I don't have the video solution for the review problem. But I have the video solution of review sheet from the last semester which in my opinion can still help you to prepare for your exam. So I think it wo't hurt to take a look at it.

Enjoy the videos!As usual, the other videos are available in the forum.

The final exam will be coming soon. The MA109 coordinator have posted the review sheet to help you to study toward your final. You can download the review problems from http://www.ms.uky.edu/~ma109. I made the video solutions to all the review problems. Here is one of it and the others can be found by following the link MathHelp above and then go to the college algebra subforum. Let me know if you find some mistakes on it and let me know if it is helpful for you. Enjoy the video(s)!

If you want to see the video better, you need to hit the fullscreen button at the bottom of the player!

Recall that if a function has an inverse then if we have and conversely if then by applying we have . Hence we have an equivalent statement that .
Now if we look at the graph of we can immediately realize that this function is a one-to-one function and hence has an inverse. We call the inverse function of as a logarithm function with base , i.e., . Now applying the equivalence statement above to the function , we have an equivalent statement that .
The video below will explore more how to use the above equivalent statement in a practical situation.