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9. 364 3243 361 =2161-6 For the following exercises, use logarithms to solve. 11. 97 10 = 1 12. 2efx = 13 14. 2 - 1059 = 29 230 17. 6 + 6= 44 15. -8 : 10P+7 -7 =-24 13. e' + 10- 10=-42 20. 2 52x - 1 18, - 509 - - 8=-62 16. 72 45=-89 23. 106 + + 2 =8 21. (" - ex - 132 = 0 19. -60#+ +2=-74 24. 403x+ 3 - 7=53 22. 704+ - 5=-95 26.=71 -2 27. ex - e' -6=0 25 8e-St-1 -4= -90 28. 3e -# + 6=-31 For the following exercises, use the definition of a logarithm to rewrite the equation as an exponential equation. 29. log 100 = -2 30. log (18) = - For the following exercises, use the definition of a logarithm to solve the equation. 31. 5log (n) = 10 32. -Blog, (x) = 16 34. 2log(8n + 4) + 6 = 10 33. 4 + log, (9k) = 2 35. 10 - 4In(9 - 8x) = 6 For the following exercises, use the one-to-one property of logarithms to solve. 36. In(10 - 3x) = In(-4x) 37 log (5n - 2) = log (8 - 5n) 38. log(x + 3) - log(x) = log(74) 39. In(-3x) = In(x2 - 6x) 40. log (6 - m) = log,3(m) (41. In(x - 2) - In(x) = In(54) 42. log,(2n2 - 14n)= log.(-45 + n?) 43. Into- - 10) + In(9) = In(10) For the following exercises, solve each equation for x. 45. In(x) + In(x - 3) = In(7x) 46. log,(7x + 6)= 3 44. log(x + 12) = log(x) + log(12) 48. log. (x + 6) - log, (x) = log,(58) 49. In(3) - In(3 - 3x) = In(4) 47. In(7) + In(2 - 4x]) = In(14) 50. log, (3x) - log, (6) = log, (77)