**e is an irrational number that is used to solve logarithms and logarithmic equations. e equals 2.71.**

- This problem is a good way to show how e works through logs.
- I learned the process of applying e into problems.
- This was difficult because putting the log in was challenging figuring out where it went.
- I used some notes to help determine the steps.

**Logarithmic equations are very interesting a fun to complete, but it's also great when inequalities get solved with logarithms.**

- I chose this problem because it shows the process and importantes of logs in inequalities.
- Learned how to put logarithms into inequalities.
- The part afterward involving graphing was challenging.
- I looked at graphhung regular inequalities and how it differed from inequalities with logs and graphed.

**When using logs, there is a lot of sepecifc properties you have to follow when solving certain equations.**

- This shows easier ways to exponentials.
- I learned how to change exponential functions into exponential equations.
- Difficult learning and remembering the property.
- I would repeat it a lot to learn it faster.

**With exponentials, there comes to be certain graphs and specific equations that can be solved.**

- This problem shows the difference between a exponential function and equation.
- I learned the difference between a exponent function, and exponential equation.
- This was difficult finding the graph to use.
- I would get help from certain classmates.

**In high school it's important to learn things about later in life, and fortunately we learn how to process compound interest rates.**

- I chose this problem because it's important to know and understand.
- I learned the process of interest rates so I can use it later in life.
- This was difficult because there is a lot of important, specific numbers that need to be correct.
- I got help from you in the process.

**This new discovery is an example of transferring bases from the problem to the other side. Logarithms are also involved in the process.**

- This was a great example for this project and explaining another lesson.
- Learned the process of bases changing and moving to the other side.
- It was difficult because logarithms being acquired into the problem was difficult.
- I used great directions from the internet.

**Also in this lesson we paid close attention to the process of exponential growth and exponential decay. We did a project involving these two key vocab terms called "how to survive a zombie attack." Since there is no such thing as a zombie this is technically wrong, but this paper would work if instead of zombies it was an epidemic of a disease.**

- I chose this because exponential growth, and decay is important to know later in life. It involves many important factors of our lives like finance.
- I learned how to calculate long term effects of big numbers involving important events, and also how to graph hit.
- This is connected through exponential growth, and exponential decay in a certain event or outbreak.
- This could occur in the future because there is a possible chance that there will be some kind of epidemic involving diseases.

- I think logarithms are important to understand in life. They are involved in many jobs, and things we need to know in life.
- There is many things to still learn about logarithms; like how logs are inputed into calculus? That would be interesting to learn, and a good source to know in life.
- People underestimate the true Big Idea of math. They don't comprehend how math is everything, and everywhere. Math is needed later in life for so many different important things.

Credits:

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