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CONVERTING FROM ONE FORM TO ANOTHER EVALUATING PROPERTIES OF LOGS – EXPANDING AND CONDENSING Day 1:

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Presentation on theme: "CONVERTING FROM ONE FORM TO ANOTHER EVALUATING PROPERTIES OF LOGS – EXPANDING AND CONDENSING Day 1:"— Presentation transcript:

1 CONVERTING FROM ONE FORM TO ANOTHER EVALUATING PROPERTIES OF LOGS – EXPANDING AND CONDENSING 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. 5 4 = 625 2. 64 = 8² 3.

5 Write into exponential form: 4. log 2 128 = 7 5. log 6 6 = 1 6. log 2 =-1

6 Evaluating Logarithms: Change of base formula. 7. log 8 16. 8. log 64 9. log 9 27 10. log 100

7 Properties of Logarithms Product property : Quotient Property: Power Property:

8 Properties of Logarithms Product property : Quotient Property: Power Property: Expand: 1. 2.

9 Expand: 1. 2. 3.

10 Write as a single log: 1. log 7 + log 2 2. log 5 – k log 2 3. log 6 5 + log 6 x 4. 4 log m – log n

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

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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