1. Solving Exponential Equations

2. One-to-One Properties

3. Inverse Properties

4. General strategies for solving exponential equations 1.Isolate the exponential expression. 2.Use the one-to-one property.

5. Example 1: Solve 4e 2x = 16 Isolate the exponential expression. Take the natural log of both sides. Apply the inverse property. Solve for x.

6. Example 2: Solve 5e x+2 – 8 = 14 Isolate the exponential expression. Take the natural log of both sides. Apply the inverse property. Solve for x.

7. Try This Solve e x-2 – 7 = 59

8. Example 3: Solve 3 x + 1 = 5 Isolate the exponential expression. Take the log of both sides. Apply the power property. Solve for x.

9. Example 4: Solve e 2x – e x – 20 = 0 Replace e x with u to help us factor. Apply the Zero Product Property.

10. Example 4: Solve e 2x – e x – 20 = 0 Solve for x. Continued e x can’t be negative

11. Try This Solve e 2x – 3e x + 2 = 0

12. Class Practice 1.4e 2x = 5 2.7 2x = 1/49 3.3 2x-1 = 27 4.8(10) 3x = 12 5.2 3-x = 565