## Section 3.3 - Logarithmic Functions & their Graphs

**Essential Question(s):**

What are the characteristics of logarithmic functions?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your cornell notes.

__Inverses of Exponential Functions__Review how to change between logarithmic and exponential (pg 300)

- What are the basic properties of logarithms? (pg 301)
- How do you evaluate logarithmic and exponential expressions? (Ex 1 & 2 pg 300-301)

__Common Logarithms - Base 10__

- What are common logarithms? (pg 302)
- What are the basic properties of common logarithms? (pg 302)
- How do you evaluate log and exponential expressions base 10? (Ex 3 pg 303)
- How do you solve simple logarithmic equations? (Ex 5 pg 303)

__Natural Logarithms - Base e__

- Review what natural logarithms are. (pg 303)
- What are the basic properties of natural logarithms? (pg 304)
- How do you evaluate log and exponential expressions base e? (Ex 6 pg 304)

__Graphs of Logarithmic Functions__

- Review the basic natural logarithmic function. (pg 305)
- How can you transform logarithmic graphs? (Ex 8 pg 306)

__Measuring Sound Using Decibels__

- What are decibels? (Pg 307)
- How are decibels used with logarithms? (Ch opener pg 307)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 300 - 307.
- Make sure to read the paragraphs between the examples.