concept. example 1 logarithmic to exponential form a. write log 3 9 = 2 in exponential form. answer:...
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![Page 1: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/1.jpg)
![Page 2: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/2.jpg)
Logarithmic to Exponential Form
A. Write log3 9 = 2 in exponential form.
Answer: 9 = 32
log3 9 = 2 → 9 = 32
![Page 3: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/3.jpg)
Logarithmic to Exponential Form
Answer:
B. Write in exponential form.
![Page 4: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/4.jpg)
A. 83 = 2
B. 23 = 8
C. 32 = 8
D. 28 = 3
A. What is log2 8 = 3 written in exponential form?
![Page 5: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/5.jpg)
B. What is –2 written in exponential form?
A.
B.
C.
D.
![Page 6: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/6.jpg)
Exponential to Logarithmic Form
A. Write 53 = 125 in logarithmic form.
Answer: log5 125 = 3
53 = 125 → log5 125 = 3
![Page 7: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/7.jpg)
Exponential to Logarithmic Form
B. Write in logarithmic form.
Answer:
![Page 8: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/8.jpg)
A. log3 81 = 4
B. log4 81 = 3
C. log81 3 = 4
D. log3 4 = 81
A. What is 34 = 81 written in logarithmic form?
![Page 9: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/9.jpg)
B. What is written in logarithmic form?
A.
B.
C.
D.
![Page 10: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/10.jpg)
Evaluate Logarithmic Expressions
Evaluate log3 243.
log3 243= y Let the logarithm equal y.
243 = 3y Definition of logarithm
35 = 3y 243 = 35
5 = y Property of Equality for Exponential FunctionsAnswer: So, log3 243 = 5.
![Page 11: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/11.jpg)
Evaluate log10 1000.
A.
B. 3
C. 30
D. 10,000
![Page 12: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/12.jpg)
![Page 13: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/13.jpg)
Graph Logarithmic Functions
A. Graph the function f(x) = log3 x.
Step 1 Identify the base.
b = 3
Step 2 Determine points on the graph.
Step 3 Plot the points and sketch the graph.
Because 3 > 1, use the points
(1, 0), and (b, 1).
![Page 14: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/14.jpg)
Graph Logarithmic Functions
(1, 0)
(b, 1) → (3, 1)
Answer:
![Page 15: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/15.jpg)
Graph Logarithmic Functions
Step 1 Identify the base.
B. Graph the function
Step 2 Determine points on the graph.
![Page 16: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/16.jpg)
Graph Logarithmic Functions
Step 3 Sketch the graph.
Answer:
![Page 17: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/17.jpg)
A. Graph the function f(x) = log5x.
A. B.
C. D.
![Page 18: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/18.jpg)
B. Graph the function .
A. B.
C. D.
![Page 19: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/19.jpg)
Graph Logarithmic Functions
This represents a transformation of the graph f(x) = log6 x.
● : The graph is compressed vertically.
● h = 0: There is no horizontal shift.
● k = –1: The graph is translated 1 unit down.
![Page 20: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/20.jpg)
Graph Logarithmic Functions
Answer:
![Page 21: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/21.jpg)
Graph Logarithmic Functions
● |a| = 4: The graph is stretched vertically.
● h = –2: The graph is translated 2 units to the left.
● k = 0: There is no vertical shift.
![Page 22: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/22.jpg)
Graph Logarithmic Functions
Answer:
![Page 23: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/23.jpg)
A. B.
C. D.
![Page 24: Concept. Example 1 Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. Answer: 9 = 3 2 log 3 9 = 2 → 9 = 3 2](https://reader035.vdocuments.mx/reader035/viewer/2022070413/5697bfe81a28abf838cb62ed/html5/thumbnails/24.jpg)
A. B.
C. D.