1. Solving Exponential and Logarithmic Equations Section 8.6 (Day 2)

2. Partner Warm-Up Solve the equations with your partner. Keep your warm-up until the end of class!

3. Objectives Solve exponential equations. Solve logarithmic equations. Use exponential and logarithmic functions to model real-life situations.

4. Remember This? Time to think … Hmmm…? If two powers with the same base are equal … what can we conclude about their exponents? Their exponents must be equal!

5. Remember This? Keep in mind that these two numbers are equal. If the bases are the same, then their exponents must be the same too!

6. Expanding the Concept Consider the following… Conclusion What can we conclude about this example?

7. Expanding the Concept With this concept in mind … Solve the equation.

8. Solving by … Exponentiating Each Side Solve the equation. Sometimes equations will not have the same log or natural log on each side of the equation. exponentiate In this case, we need to exponentiate in order to cancel out the logarithm.

9. Solving by Exponentiating Each Side Solve the equation.

10. Real World Examples Logarithms are used in different ways in the real world: ▫Seismology ▫Cooking ▫Finance ▫Sound intensity ▫Electronics

11. Using a Logarithmic Model

12. Progress Checklist Solving by equating exponents. Solving by a logarithmic equation. Taking a logarithm of each side. Exponentiating each side.

13. Exit Slip Solve the equation. Work individually Remain quiet until everyone has finished Turn in your exit slip when you are finished Begin the homework

14. Homework pg. 506 #44-60 even (skip #52) Chapter 8 Test on Monday, April 22 nd