Exponential and Logarithmic Equations

Colorado State University Week 8 Exponential and Logarithmic Equations Questions


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Welcome to Module 8! Last week we studied and analyzed exponential and logarithmic equations and their applications. We also reviewed exponential growth and decay models and applied them to real-world contexts.

In Module 8, we will focus on solving systems of two equations in two variables. We will discuss three different approaches for solving this type of system of equations. Additionally, we will learn how to solve systems of three equations in three variables using Gaussian elimination.

Note 1:
Please make sure you review all the previous comments before you submit your post, to avoid identical examples or work.

Note 2:
As I mentioned in other posts, it would be ideal if you can submit your peer responses on different days, after your initial post. The order is important, as I need time to review your initial posts, and you need to remain active, and visible, on the discussion board, throughout the entire week.

Note 3:
Please post and mark your answers in the given task order (1, 2, and 3) for an easy review and understanding of your assignment work. Please show detailed work and explanations instead of final answers.

Learning Outcomes:

  1. Solve systems of linear equations in two variables by graphing.
  2. Solve systems of linear equations in two variables by substitution.
  3. Solve systems of linear equations in two variables by elimination.
  4. Solve systems of linear equations in three variables with Gaussian elimination.
  5. Solve application problems involving systems of equations.

Make sure you read Sections 7.1, 7.2, and 7.6 in the course textbook and follow the examples outlined there. Also, work through the examples shown in the additional required readings. Practice makes perfect!

Next, attempt the Opening Exercises before engaging with the personalized lecture where you will complete Check Your Understanding that will help you navigate the various sections. Once you feel ready, you can attempt the Mastery Exercises that can be found in Knewton alta.

This week you will also have a final exam. Set aside some time to complete the final exam review (preview) in Knewton alta this week, so you are prepared for the final exam due at the end of this week.

Required materials:


Your task for this discussion is as follows:

  1. Write a system of two linear equations that model something from your daily life.
  2. Solve the system of equations in two ways.
  3. Discuss which method you liked better and why.
  4. In your responses to peers, compare and contrast your preferences for how to solve systems of equations.