CONVERTING FROM ONE FORM TO ANOTHER

EVALUATING

PROPERTIES OF LOGS – EXPANDING AND CONDENSING

Day 1:

Learning Targets – Unit 6

I can expand and condense logarithmsI can solve log and exponential equationsI can convert from logs to exponentialsI can solve word problems with log and

exponential equationsI can find the shape of a regression and

determine which regression equation to useI can use my calculator to find the regression

equationI 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

3. 2

2

14

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

NMN

Mbb

b

logloglog

MxM bx

b loglog

Properties of Logarithms

Product property :

Quotient Property:

Power Property:

Expand:1.

2.

NMMN bbb logloglog

NMN

Mbb

b

logloglog

MxM bx

b loglog

437log ba

2

3log

y

Expand:

1.

2.

3.

53log yx

243log 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

1log 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 back of your books to make sure you are doing the work correctly!