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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 ...
Learning Targets – Unit 6
 I can expand and condense logarithms
 I can solve log and exponential equations
 I can conve...
What do we need to do to keep improving?
Practice:
Write each in log form.
1. 54 = 625
2. 64 = 8²
3.
2
2
1
4








Write into exponential form:
4. log2128 = 7
5. log66 = 1
6. log2 =-12
1
Evaluating Logarithms:
Change of base formula.
7. log8 16.
8. log64
9. log9 27
10. log 100
32
1
Properties of Logarithms
Product property :
Quotient Property:
Power Property:
NMMN bbb logloglog 
NM
N
M
bb
b
logloglog...
Properties of Logarithms
Product property :
Quotient Property:
Power Property:
Expand:
1.
2.
NMMN bbb logloglog 
NM
N
M
...
Expand:
1.
2.
3.
53
log yx
24
3log 
nm
x5log4
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
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

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...
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Day 1 worked

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Exponents and Logs

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Day 1 worked

  1. 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. 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. 3. What do we need to do to keep improving?
  4. 4. Practice: Write each in log form. 1. 54 = 625 2. 64 = 8² 3. 2 2 1 4        
  5. 5. Write into exponential form: 4. log2128 = 7 5. log66 = 1 6. log2 =-12 1
  6. 6. Evaluating Logarithms: Change of base formula. 7. log8 16. 8. log64 9. log9 27 10. log 100 32 1
  7. 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. 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. 9. Expand: 1. 2. 3. 53 log yx 24 3log  nm x5log4
  10. 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. 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. 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! 

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