1. a) b) c) d) Solving LOG Equations and Inequalities **SIMPLIFY all LOG Expressions** CASE #1: LOG on one side and VALUE on other Side Apply Exponential Conversion Solve (For inequalities x < # requires 0 < x < # because of domain

2. a) c) Solving LOG Equations and Inequalities **Simplify all LOG Expressions** CASE #2: LOG on BOTH Bases of both sides should be the same Set the insides of logs equal and Solve b)

3. Natural Log Equations / Inequalities c) d) a)b)

4. Practice: Solving Logs 3. 1. 5. 2. 4.

5. APPLYING LOG PROPERTIES: SOLVING with PRODUCT PROPERTY [a] [b]

6. [d] [c]

7. [a] APPLYING LOG PROPERTIES: SOLVING with QUOTIENT PROPERTY [b]

8. APPLYING LOG PROPERTIES: SOLVING with POWER PROPERTY [b] [a]

9. [b] GENERAL PRACTICE [a] [c][d]

10. GENERAL PRACTICE: Continued [e] [f]

11. Solve Exponential Equations with Logs Solve the exponential until form, b x = a. Clearing Bases Using Log Conversion Some answers cannot be evaluated by hand and require calculator a) b)

12. Part 2: Solving Exponential Equations with Logs Solve equation to basic exponential form b (exponent) = # Convert to Logarithmic Form Numerical Value = Change of Base Solve for Variable and Use Calculator at end to get approximation a) b)

13. PRACTICE: Calculator Active C) D) A) B)

14. (E) (F) (G) (H)

15. Example 2: Solve Base e Exponentials a) b) c) d)

16. a) b) Solving Exponential Equations/Inequalities with DIFFERENT bases Take a common log of both sides to move variables from exponents, and solve for variable. Reminder: Logs are numerical values. c) d)

17. PRACTICE: Use Common Logs to Solve (1) (2) (3)(4)

18. (5) (6) (7)