1. STUDENTS WILL BE ABLE TO: CONVERT BETWEEN EXPONENT AND LOG FORMS SOLVE LOG EQUATIONS OF FORM LOG B Y=X FOR B, Y, AND X LOGARITHMIC FUNCTIONS

2. LOGARITHMS Read as “log base a of x”

3. LOGARITHMS ARE EXPONENTS!

4. CONVERTING BETWEEN LOG AND EXPONENTIAL FORM

5. WITHOUT A CALCULATOR, FIND THE FOLLOWING

6. COMMON LOGARITHMS

7. PROPERTIES OF LOGS

8. USING THE PROPERTIES OF LOGS

9. HOMEWORK Pg 195 # 3-6, 11-20, 23-30 Difference Quotient Video Project due next class!!

10. GRAPHS OF LOGARITHMIC FUNCTIONS

11. Domain: (0, ∞) Range: (- ∞, ∞) x-intercept: (1, 0) y-int: none Increasing: (0, ∞) Vertical Asymptote: x=0 HA: none Continuous: Yes Reflection of the graph y = a x in the line y=x

12. STEPS TO GRAPHING LOG FUNCTIONS

13. TRANSFORMATIONS OF LOG FUNCTIONS xy -2 0 1 2 xyxy Domain: Range: VA: x-int:

14. TRANSFORMATIONS OF LOG FUNCTIONS xy -2 0 1 2 xyxy Domain: Range: VA: xy

15. TRANSFORMATIONS OF LOG FUNCTIONS Domain: Range: VA: x-int: xy -2 0 1 2 xyxyxy

16. FIND THE DOMAIN 1.f(x) = log 7 (x-4) 2.g(x)= log (1-2x) 3.g(x)= log 8 x 2 How do you think we can find the domain? Remember, we can’t take the log of a negative number. Set the piece inside the log greater than or equal to zero, then solve!

17. CHANGE OF BASE FORMULA Any number you want!

18. THE NATURAL LOGARITHM

19. PROPERTIES OF NATURAL LOGS

20. USING THE PROPERTIES OF NATURAL LOGS

21. QUIZ 3.1-3.2 THURSDAY 3.1 Exponential Functions and their graphs Evaluate exponential functions Graph exponential functions Properties of exp graphs Natural base Graph Evaluate Compound Interest Solve 1-to1 exp equations 3.2 Logarithmic Functions and their graphs Evaluate log functions Graph log functions Properties of log graphs Properties of logs Common Log Change of Base Natural Log Evaluate

22. HOMEWORK Pg 195 #35, 41, 43, 45-48, 50, 51(53-61 odd)