11-38 - Exponential Equations (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calcu- lator to find an approximation to the solution rounded to six deci- mal places. 11. 10* = 25 12. 10* = 4 13. e-S* = 10 14. e04x = 8 %3D 15. 2'-* = 3 16. 32- = 5 %3D 17. 3e* = 10 18. 2e12 = 17 19. 300(1.025) 2 = 1000 20. 10(1.375)or 50 21. e'-d = 2 22. e- = 16 23. 2°-7* = 15 24. 23* = 34 25. 3/14 = 0.1 26. 5/100 = 2 27. 4(1 + 10*") = 9 28. 2(5 + 3*') = 100 29. 8 + e'-4x = 20 30. 1 + e*+1 = 20 31. 4* + 21 +2* = 50 32. 125" + 53*+l = 200 33. 5' = 4*+I 34. 10'-* = 6" 35. 23+1 = 3-2 36. 7/2 = 5'-* 50 = 4 1 +e* 10 = 2 1+ e* 37. 38.
11-38 - Exponential Equations (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calcu- lator to find an approximation to the solution rounded to six deci- mal places. 11. 10* = 25 12. 10* = 4 13. e-S* = 10 14. e04x = 8 %3D 15. 2'-* = 3 16. 32- = 5 %3D 17. 3e* = 10 18. 2e12 = 17 19. 300(1.025) 2 = 1000 20. 10(1.375)or 50 21. e'-d = 2 22. e- = 16 23. 2°-7* = 15 24. 23* = 34 25. 3/14 = 0.1 26. 5/100 = 2 27. 4(1 + 10*") = 9 28. 2(5 + 3*') = 100 29. 8 + e'-4x = 20 30. 1 + e*+1 = 20 31. 4* + 21 +2* = 50 32. 125" + 53*+l = 200 33. 5' = 4*+I 34. 10'-* = 6" 35. 23+1 = 3-2 36. 7/2 = 5'-* 50 = 4 1 +e* 10 = 2 1+ e* 37. 38.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 14EQ
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Question
11–38 ■ Exponential Equations (a) Find the exact solution of
the exponential equation in terms of logarithms. (b) Use a calculator to find an approximation to the solution rounded to six decimal places.
Transcribed Image Text:11-38 - Exponential Equations (a) Find the exact solution of
the exponential equation in terms of logarithms. (b) Use a calcu-
lator to find an approximation to the solution rounded to six deci-
mal places.
11. 10* = 25
12. 10* = 4
13. e-S* = 10
14. e04x = 8
%3D
15. 2'-* = 3
16. 32- = 5
%3D
17. 3e* = 10
18. 2e12 = 17
19. 300(1.025) 2 = 1000
20. 10(1.375)or
50
21. e'-d = 2
22. e- = 16
23. 2°-7* = 15
24. 23* = 34
25. 3/14 = 0.1
26. 5/100 = 2
27. 4(1 + 10*") = 9
28. 2(5 + 3*') = 100
29. 8 + e'-4x = 20
30. 1 + e*+1 = 20
31. 4* + 21 +2* = 50
32. 125" + 53*+l = 200
33. 5' = 4*+I
34. 10'-* = 6"
35. 23+1 = 3-2
36. 7/2 = 5'-*
50
= 4
1 +e*
10
= 2
1+ e*
37.
38.
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