Solving Exponential Equations and Inequalities

1. Solving Exponential Equations and Inequalities Unit 3b

2. One to one Function • (One to One Property) • If , the m = n

3. Solving Exponential equations and Inequalities • Get the exponential expression on one side by itself • Try to get both bases to be the same • Set the exponents equal and solve • Remember when solving inequalities, when you multiply or divide by a negative, flip the inequality symbol • Use the calculator, if needed

4. Solving Exponential Equations Ex. 1 Problem Rewritten Solution a) b)

5. Example 1

6. Example 2

7. Basic InequalitiesReview

8. Notation < Less than > Greater than Less than or equal to Greater than or equal to = / Not equal to

9. Notes Strictly greater than: x > b Strictly less than: x < b Greater than or equal to: x ≥ b Less than or equal to: x ≤ b Inequalities Interval Notation

10. 5 -7 Graph 7.) x < 5 8.) x -7

11. Solving Inequalities inequality • Solving an _________ is the same as solving an __________. equation

12. A new rule • If you __________ or _________ by a negative number you must _____ the inequality sign!!!!! multiply divide flip

13. Example 3

14. Example 4

15. Example 5