Ecuaciones Exponenciales

ECUACIONES EXPONENCIALES



Determina el valor de x en las siguientes ecuaciones exponenciales:

1. ax - a7 = 0
2. a2x = a8
3. ax+3 - a8 = 0
4. ax-5 = a
5. b7-x = b3
6.b3-x = b6
7. 3x = 1
8. 2x-1 = 1
9. 43-x = 4
10. p5-x = p
11. qx+1 = q
12. m8x-5 = m5x+7
13. cx · cx-3 = c9
14. m3x = m18
15. a5x-3 = a14+5x · a8x+7
16. bx-1 ·bx+1 = b8
17. (m5)x = m15
18. (ax-1)x-7 = (ax+1)x+3
19. (a5x+1)5 = (a7x-1)7 · (ax-6)9
20. 4x = 64
21. 5x = 125
22. 9x = 81
23. 3-x = 9
24. 6-x = 1
25. 6x = 1/36
26.5x = 1/125
27. 2x+1 = 0,25
28. 2x-3 = 1/8
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44. (25x-3)6 : (1252-3x)2 = 625
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47. (2x)x = 16
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49. (5x)x-2 = 25x
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52. 102x-1 – 10x = 0
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54. (0,25)x+1 = (0,125)x-1

Respuestas:

|1. 7 |20. 3 |39. 10 |
|2. 4 |21. 3 |40. 3/5 |
|3. 5|22. 2 |41. 7 |
|4. 6 |23. –2 |42. –3 |
|5. 4 |24. 0 |43. 2 |
|6. –3 |25. –2 |44. 26/15 |
|7. 0|26. –3 |45. –3/5 |
|8. 1 |27. –3 |46. 3 |
|9. 2 |28. 0 |47. 2 |
|10. 4 |29. –3/2 |48. 3 y 1 |
|11. 0 |30. –3|49. 0 y 4 |
|12. 4 |31. –5/2 |50. 5/4 |
|13. 6 |32. 6/5 |51. –12 |
|14. 6 |33. 8/3 |52. 1 |
|15. –3 |34. 8|53. 4/9 |
|16. 4 |35. 3 |54. 5 |
|17. 3 |36. 14 | |
|18. 1/3 |37. 9 | |
|19. 2 |38. –5 |...