3 nction. function is given. ions: 2 43. f(x)=3e* +2 44. f(x)=2x/3+4 45. How does the transformation y = ln(x + c), c > 0, affect the x-intercept of the graph of the function f(x) = Inx? 46. How does the transformation y = ex, c> 0, affect the y-intercept of the graph of the function f(x) = e*? In Problems 47-62, solve each equation. 47. 3*² = 9x e2 = ex PAGE 50 49. 3x PAGE 51 51. el-2x=4 53. 5(2³*)=9 55. 31-2x 4x As a m = PAGE no) dg nic 48. 5x²+8=1252x 50. e4x. ex² = 12 e12 Solve 52. e¹-x=5 54. 0.3(40.2x)=0.2 56. 2x+1-51-2x 52 57. log2 (2x+1)=3 58. log3(3x-2)=2 59. logx =3 8 bus = 10 60. log, 64 = -3 1 PAGE 52 61. In(2x+3)=2ln 3 と - 2 5x 62. = log3 x = 2 log32 5 x 5 x PAGE 2 In Problems 63-66, use technology to solve each equation. Express the answer rounded to three decimal places. 63. log5(x+1) - log4(x-2)=1 64. ln x=x 53 65. ex+lnx=4 66. ex = x² 67. (a) If f(x) = In(x+4) and g(x) = ln(3x+1), graph f and g on the same set of axes. (b) Find the point(s) of intersection of the graphs of ƒ and g by solving f(x) = g(x). (c) Based on the graph, solve f(x) > g(x). 68. (a) If f(x)=3x+1 and g(x)=2x+2, graph ƒ and g on the same set of axes. (b) Find the point(s) of intersection of the graphs of f and g by solving f(x) = g(x). Round answers to three decimal places. (c) Based on the graph, solve f(x) > g(x).