**Unformatted text preview: **Algebra 2
Unit 5 Exponential and
ial and Logarithmic Functions
Subtopic: Evaluating Logarith
Name: Menchur
.F. SF.5 Understand the inverse relationship between exponents and logarithms and use
In Date: March 12, 2019
time and use this relationship to solve problems involving
Essential Question(s): 1. How do you convert between exponential and logarithmic forms?
Exponenti you evaluate logarithms by discovery/inquiry and using change of base formula?
Converting Between Exponential and Logarithmic Form Process
A. by = xif and only if y = log; x
Write the logarithmic equation in exponential form.
1. 10g6 216 = 3
Exponential Form:_
- 214
2. logs 625 = 4
Exponential Form:
54- 625
3. 10g8 54
2 = -2
Exponetial Form:
4. 10825 5 =7
Exponential Form:
-= S
Write the exponential equation in logarithmic form.
5. 73 = 343
Logarithmic Form: lay2 34 = 3
6. 142 = 196
Logarithmic Form:
lagi 146=2
7. 162 = 64
Logarithmic Form: log bu=3-
8. 11 -2 =
1
121
Logarithmic Form: 109 -2 15-
Evaluate each of the following logarithms. Round your answers to four decimal places.
9. log 98 =
11. log 24.7 = _
1.3727
10. log 7 =
12. log 3.25 = 0 . $11 0
Use the change of base formula to find the value of each logarithmic expression. Round all
answers to the nearest thousandth. Change of Base Formula: log, x = \ Show the Wo
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13. logs 78
14. log4 18
15. log7 47
log 78
109 18
log 47
109 5
logH
log 7
16. 10g1 1 13.5
17. log, 15
18. log3 8.2
105 1 3.5
los Is
log 8.2
log 3...

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