This document contains a lesson on exponential and logarithmic equations from Mrs. Crespo's Algebra 2 class. It includes examples of converting between exponential and logarithmic form, solving various exponential and logarithmic equations, and an assignment for students to practice these skills by working through problems on an exponential and logarithmic worksheet.

1. DO NOW
ANSWER THE FOLLOWING QUESTIONS:
1) What is the exponential form of
logby = x?
2) What is the logarithmic form of bx = y?
3) What is the inverse of the exponential
function?
Crespo 2015-2016

2. Exponential – Logarithm
Logarithm – Exponential
Algebra 2 Mrs. Crespo

3. To Exponential Form
Log636 = 2
62 = 36
Crespo 2015-2016

4. log10100=2
102 = 100
Crespo 2015-2016

5. To Exponential Form
Log28=3
23=8
Crespo 2015-2016

6. Log41024 = 5
45 = 1024
Crespo 2015-2016

7. To Exponential Form
Log381=4
34 = 81
Crespo 2015-2016

8. Log =
=
Crespo 2015-2016

9. Log14196 =
14 = 196
Crespo 2015-2016

10. To Exponential Form
Log =
=
Crespo 2015-2016

11. Log464 = 3
43 = 64
Crespo 2015-2016

12. To Exponential Form
Log12144 = 2
122 = 144
Crespo 2015-2016

13. Log2256 =
2 = 256
Crespo 2015-2016

14. To Exponential Form
Log9 =
9 =
Crespo 2015-2016

15. Log8 = 3
83 =
Crespo 2015-2016

16. To Exponential Form
Log3437 = 1/3
3431/3 = 7
Crespo 2015-2016

17. To Exponential Form
Log749 = 2
72 = 49
Crespo 2015-2016

18. Log636 = 2
62 = 36
Crespo 2015-2016

19. Log28=3
23=8
Crespo 2015-2016

20. To Exponential Form
Log8 = 3
83 =
Crespo 2015-2016

21. Log381=4
34 = 81
Crespo 2015-2016

22. Log =
=
Crespo 2015-2016

23. To Exponential Form
Log2256 =
2 = 256
Crespo 2015-2016

24. Log3437 = 1/3
3431/3 = 7
Crespo 2015-2016

25. To Exponential Form
Log14196 =
14 = 196
Crespo 2015-2016

26. Log749 = 2
72 = 49
Crespo 2015-2016

27. To Exponential Form
Log464 = 3
43 = 64
Crespo 2015-2016

28. Log9 =
9 =
Crespo 2015-2016

29. To Exponential Form
Log =
=
Crespo 2015-2016

30. Log12144 = 2
122 = 144
Crespo 2015-2016

31. To Exponential Form
Log41024 = 5
45 = 1024
Crespo 2015-2016

32. To Exponential Form
Log10100=2
102 = 100
Crespo 2015-2016

33. LEARNING TARGET 4.3.3
SOLVE EXPONENTIAL AND LOGARITHMIC
EQUATIONS
SOLVE
log3(x - 5) = 2
YOUR TURN: SOLVE
log6(2x - 1) = -1
Crespo 2015-2016

34. LEARNING TARGET 4.3.3
SOLVE EXPONENTIAL AND LOGARITHMIC
EQUATIONS
SOLVE
logx + log 8 = 2
YOUR TURN: SOLVE
log8 2 + log8 4x = 1
Crespo 2015-2016

35. LEARNING TARGET 4.3.3
SOLVE EXPONENTIAL AND LOGARITHMIC
EQUATIONS
SOLVE
ln 2 – ln (3x + 2) = 1
YOUR TURN: SOLVE
ln(4x + 1) - ln 3 = 5
Crespo 2015-2016

36. LEARNING TARGET 4.3.3
SOLVE EXPONENTIAL AND LOGARITHMIC
EQUATIONS
SOLVE
3x = 17
YOUR TURN: SOLVE
12x = 13
Crespo 2015-2016

37. LEARNING TARGET 4.3.3
SOLVE EXPONENTIAL AND LOGARITHMIC
EQUATIONS
SOLVE
9x+10 + 3 = 81
YOUR TURN: SOLVE
11x-8 – 5 = 54
Crespo 2015-2016

38. PRACTICE
EXPONENTIAL AND LOGARITHMIC
WORKSHEET
1-13 PROBLEMS FROM EACH WORKSHEET.
WORK BY YOURSELF OR WITH A PARTNER.
HOMEWORK INSPECTION: NEED TO CHECK
ON FA-C REVIEW
Crespo 2015-2016