Product rule: This property states that the logarithm of a product is the sum of the logs of its factors. We can use the product rule to rewrite logarithmic expressions.

Quotient rule: This property states that the log of a quotient is the difference of the logs of the dividend and the divisor. Also can be used to rewrite logarithmic expressions.

Power rule: This property says that the log of a power is the exponent times the logarithm of the base of the power. Also used for rewriting expressions.

Change of Base rule: Pick a new base and the formula says it is equal to the log of the number in the new base divided by the log of the old base in the new base.

Quotient rule: This property states that the log of a quotient is the difference of the logs of the dividend and the divisor. Also can be used to rewrite logarithmic expressions.

Power rule: This property says that the log of a power is the exponent times the logarithm of the base of the power. Also used for rewriting expressions.

Change of Base rule: Pick a new base and the formula says it is equal to the log of the number in the new base divided by the log of the old base in the new base.

## Why was it the most enjoyable content?

Learning about logarithms this year was the most enjoyable content to learn about this year because it was one of the most challenging concepts to learn about. When learning about the properties, I felt like I immediately understood all of them and how to use them. That day we did many problems on them and I felt as if I already constructed logarithm properties in my brain to stay forever. That next week doing logarithm problems I had forgotten the properties and couldn't remember how to explain them. I remember it was a moment that stunned me, because something like that has never happened to me before. That is when that experience taught me that there are going to be moments in my life where learning something, whether it's in a class, sports, or in life, I am going to need to apply extra time to fully understand it. Realizing that inside the classroom that day was a good experience overall and it will be an experience that sticks with me throughout college, I know that for sure.