Exponents and Logs

1. C O N V E R T I N G F R O M O N E F O R M T O A N O T H E R
E V A L U A T I N G
P R O P E R T I E S O F L O G S – E X P A N D I N G A N D
C O N D E N S I N G
Day 1:

2. Learning Targets – Unit 6
 I can expand and condense logarithms
 I can solve log and exponential equations
 I can convert from logs to exponentials
 I can solve word problems with log and exponential
equations
 I can find the shape of a regression and determine which
regression equation to use
 I can use my calculator to find the regression equation
 I can solve word problems using regression equations

3. What do we need to do to keep improving?

4. Practice:
Write each in log form.
1. 54 = 625
2. 64 = 8²
3.
2
2
1
4









5. Write into exponential form:
4. log2128 = 7
5. log66 = 1
6. log2 =-12
1

6. Evaluating Logarithms:
Change of base formula.
7. log8 16.
8. log64
9. log9 27
10. log 100
32
1

7. Properties of Logarithms
Product property :
Quotient Property:
Power Property:
NMMN bbb logloglog 
NM
N
M
bb
b
logloglog 
MxM b
x
b loglog 

8. Properties of Logarithms
Product property :
Quotient Property:
Power Property:
Expand:
1.
2.
NMMN bbb logloglog 
NM
N
M
bb
b
logloglog 
MxM b
x
b loglog 
43
7log ba
2
3
log 




 y

9. Expand:
1.
2.
3.
53
log yx
24
3log 
nm
x5log4

10. Write as a single log:
1. log 7 + log 2 2. log 5 – k log 2
3. log6 5 + log6 x 4. 4 log m – log n

11. Evaluate:
1. log 1 + log 100 2. 3 log 2 2 – log2 4
3. log 6 4 + log 6 9 4. 3log3
3
1
log 9
9


12. Homework
 Pg 308 (1-17 odd, 25-35 odd)
 Pg 317 (1-35 odd)
 I am giving you all odds, so you can check
yourselves in the back of your books to make sure
you are doing the work correctly! 