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In this learning activity, discuss with the other members of your group your experiences with exponential and logarithmic functions.

**Post **a 150-word response to one of the discussion prompts by Day 5 in the discussion area below:

**Prompt 1**

**View** one of the following Week 2 videos:

- Khan Academy: Vertical Asymptote of Natural Log
- Khan Academy: Visually Determining Vertical Asymptotes

**Answer** the following questions:

- What is a vertical asymptote? How can you determine if a function has a vertical asymptote?
- Explain the behavior of the function as the variable
*x*increases without bound. Provide an example of your vertical asymptote in your explanation.

- Explain the behavior of the function as the variable

**Prompt 2**

**View** one of the following Week 2 videos:

- Khan Academy: Relationship Between Exponentials & Logarithms
- Khan Academy: Relationship Between Exponentials & Logarithms: Graphs

**Answer** the following questions:

- What is the relationship between exponentials and logarithms? How can you use these to solve equations? Provide an example in your explanation.

**Prompt 3**

**View** one of the following Week 2 videos:

- Khan Academy: Relationship Between Exponentials & Logarithms
- Khan Academy: Logarithmic Equations: Variable in the Argument

**Do **the following:

- Search the internet for real-world applications of logarithms or exponential functions. Share the application you discovered with the class along with how it relates to logarithms or exponential functions. Be sure to reference the source.

*Note*: All Khan Academy content is available for free at www.khanacademy.org.

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