10. ecuaciones exponenciales
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ECUACIONES EXPONENCIALES
Colegio Marista Cristo Rey (La Coruña). Depto de Ciencias. Prof. Fernando Suárez y José Vizoso
DIRECTAS 1. 2! = 8 2. 2! = 64 3. 2!!! = 256 4. 2! = 1024 5. 2!!! = 8 6. 4!!! = 8 7. 3! = 27 8. 3! = 81 9. 3!!! = 729 10. 5! = 125
11. 5!!! = 625 12. 2!!! = 16 13. 2!!! = 64 14. 2!!! = 256 15. 2!!! = 1024
CON PRODUCTOS 16. 2. 5! = 250 17. 3. 2! = 24 18. 3. 5! = 1875 19. 3. 5! = 75
20. 7. 2! = 224 21. 9. 3!!! = 243 22. 125. 5!! = 1 23. 7!!! = 2401
24. 5!!!!!!" = 1 25. 8. 2!!! = 64
26. 7!! . 7!!! . 7! = 1 27. 25. 5!!! = 5! 28. 10!!!. 1000 = 1
29. 7!!!. 7! = 7!!!. 17
CON SUMAS Y RESTAS 30. 5!!! + 100 = 5! 31. 4! + 4!!! − 4!!! + 44 = 0 32. 11! − 11!!! = 1320 33. 3! + 3!!! + 3!!! = 351 34. 2!!! + 2! + 2!!! = 7 35. 3!!! + 3! + 3!!! = 117 36. 2! + 2!!! + 2!!! + 2!!! = 480
37. 2! + 2!!! + 2!!! + 2!!! = 152
38. 3! + 3!!! = 12 39. 3!! + 81 = 2. 3!!!
40. 3!. !!! − 28. 3! + 3 = 0 41. 3!!!! − 8. 3!!! = 3 42. 2!!! + 4!!! − 320 = 0 43. 3!!!! − 28. 3! + 3 = 0 44. 9! − 2. 3!!! + 1 = −80 45. 4! − 3. 2!!! + 8 = 0 46. 5!! − 30. 5! + 125 = 0 47. 5!! − 6. 5! + 5 = 0 48. 4! − 5. 2! + 4 = 0 49. 9! − 2. 3! = 3
SOLUCIONES: 1. ! = 3 2. ! = 6 3. ! = 7 4. ! = 10 5. ! = 2 6. ! = 2!! 7. ! = 3 8. ! = 4 9. ! = 5 10. ! = 3 11. ! = 2 12. ! = 3 13. ! = 7
14. ! = 6 15. ! = 8 16. ! = 3 17. ! = 3 18. ! = 4 19. ! = 2 20. ! = 5 21. ! = 4 22. ! = −1 23. ! = 3 24. !! = 5; !! = −4 25. ! = −2 26. !! = 4; !! = 1
27. ! = 4 28. ! = −1 29. ! = −3 30. ! = 3 31. ! = 2 32. ! = 1 33. ! = 4 34. ! = 1 35. ! = 3 36. ! = 5 37. ! = −1 38. ! = 2 39. ! = 2
40. !! = −2; !! = 1 41. ! = 2 42. ! = 3 43. !! = −2; !! = 1 44. ! = 2 45. !! = 2; !! = 1 46. !! = 2; !! = 1 47. !! = 0; !! = 1 48. !! = 0; !! = 2 49. ! = 1
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