Day 1:
CONVERTING FROM ONE FORM TO ANOTHER
EVALUATING
PROPERTIES OF LOGS – EXPANDING AND
CONDENSING
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
What do we need to do to keep improving?
Practice:
Write each in log form.
1. 54 = 625
2. 64 = 8²
1
3. 4   
2
2
Write into exponential form:
4. log2128 = 7
5. log66 = 1
6.
1
log2 2 =-1
Evaluating Logarithms:
Change of base formula.
7. log8 16.
8.
1
log64
32
9. log9 27
10. log 100
Properties of Logarithms
Product property : log b MN  log b M  log b N
M
 log b M  log b N
Quotient Property: log
b N
Power Property: log b M  x log b M
x
Properties of Logarithms
Product property :
log b MN  log b M  log b N
Quotient Property:
M
log
 log b M  log b N
b N
Power Property:
Expand:
1. log 7 a 3b 4
 y 
2. log 

3 
2
log b M  x log b M
x
Expand:
1.
3
log x y
5
2. log 3m 4 n 2
3.
log 4 5 x
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
3. log 6 4 + log 6 9
2. 3 log 2 2 – log2 4
4.
1
log
 3 log 9 3
93
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! 