1. Today’s Agenda
 Attendance
 Section
/ Announcements
4.4
 Quiz on Tuesday
 Exam 3 (Chapter 4)

Fri 11/1

2. Solving Exponential Equations
2
x
3x 6
2
4
2x 9
64
8
x
32
2x 5

3. Solving Logarithmic Equations
log 5 x 1
log x 7
0

4. But these “one-to-one” equivalent
properties won’t always work….
4
x
25
We will need to apply the “inverse”
properties of logs and exponentials

6. Method #1
4
x
25

7. Method #2
4
x
25

8. Solving Exponential Equations

9. Solving Exponential Equations
3(2)
x
42
4e
2x
3 2

10. Solving Exponential Equations
3x 1
x 2
x 2
8
431
4
3

11. Solving Logarithmic Equations
We can think of the inverse of logs as
“exponentiating” both sides

12. Solving Logarithmic Equations
log x
2
log 2 4 x 3

13. Solving Logarithmic Equations
2 log 5 3x
4
ln 3x
2.1

14. Solving Logarithmic Equations
ln 2 x 1 1 ln x 2

15. Solving Logarithmic Equations
log x 6
log x 6
2

16. Classwork / Homework
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