11-38 - Exponential Equations 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. (a) Find the exact solution of 11. 10* 25 12. 10-* = 4 13. е -5x 10 14. e04x 15. 2'-* = 3 16. 32*-1 = 5 17. 3e* 10 18. 2e12x 17 19. 300(1.025)12 = 1000 20. 10(1.375)'0r = 50

Algebra and Trigonometry (MindTap Course List)
4th Edition
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Chapter4: Exponential And Logarithmic Functions
Section4.5: Exponential And Logarithmic Equations
Problem 12E
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Question
Sec4.5:#37
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. е
-5x
10
14. e04x
8
15. 2'-* = 3
16. 32*-1 = 5
17. 3e*
10
18. 2e12r
17
19. 300(1.025)2r
12t
=
1000
20. 10(1.375)10r = 50
21. e'-4;
22. e3-5x
16
23. 25-7к
15
24. 23x
34
25. 3*/14
0.1
26. 5-x/100
= 2
27. 4(1 + 105*) = 9
28. 2(5 + 3*+!) = 100
29. 8 + e'-4x
20
30. 1 + e4r+1 = 20
31. 4* + 21+2r
50
32. 125* + 53x+1
200
1
33. 5* = 4*+
34. 10'-x
: 6*
35. 23x+1 = 3*-2
36. 7×/2
51-x
10
37.
1 + e¯*
4
38.
1 + e¯*
50
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. е -5x 10 14. e04x 8 15. 2'-* = 3 16. 32*-1 = 5 17. 3e* 10 18. 2e12r 17 19. 300(1.025)2r 12t = 1000 20. 10(1.375)10r = 50 21. e'-4; 22. e3-5x 16 23. 25-7к 15 24. 23x 34 25. 3*/14 0.1 26. 5-x/100 = 2 27. 4(1 + 105*) = 9 28. 2(5 + 3*+!) = 100 29. 8 + e'-4x 20 30. 1 + e4r+1 = 20 31. 4* + 21+2r 50 32. 125* + 53x+1 200 1 33. 5* = 4*+ 34. 10'-x : 6* 35. 23x+1 = 3*-2 36. 7×/2 51-x 10 37. 1 + e¯* 4 38. 1 + e¯* 50
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