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Today’s Agenda
 Attendance

 Section

/ Announcements

4.4
 Quiz on Tuesday
 Exam 3 (Chapter 4)


Fri 11/1
Solving Exponential Equations

2

x

3x 6

2

4

2x 9

64

8

x

32

2x 5
Solving Logarithmic Equations

log 5 x 1

log x 7

0
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
Lecture 4.4 bt
Method #1

4

x

25
Method #2

4

x

25
Solving Exponential Equations
Solving Exponential Equations
3(2)

x

42

4e

2x

3 2
Solving Exponential Equations
3x 1
x 2
x 2
8
431
4
3
Solving Logarithmic Equations

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

2

log 2 4 x 3
Solving Logarithmic Equations
2 log 5 3x

4

ln 3x

2.1
Solving Logarithmic Equations
ln 2 x 1 1 ln x 2
Solving Logarithmic Equations
log x 6

log x 6

2
Classwork / Homework
• Page 250
• 1 – 39 odd
• 45 – 53 odd

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Lecture 4.4 bt