21 thru 59 ( odd problems only)

1.3 Inverse, Exponential, and Logarithmic Functions 37 44. Splitting up curves The equation y" - 4x is associated e. In Ve with four one-to-one functions, f, (x), f2(x), f,(x), and f4(x) (see figure). approximate 0.6931. a. Find the domain and a formula for each function. b. Find the inverse of each function and write it as y = f (x). graphical on which the y = 1, ( x ) 1 ) 2 x + 8 the square.) action (on the 3 = S3 ( x) y = LA(X) the same set metry in the HOME 45-50. Properties of logarithms Assume log, x = 0.36, log, y = 0.56, and log, z = 0.83. Evaluate the following expressions. 45. 1ogb 46. log, x2 47. 1ogb *z Vxy 48. logb Z x) of each Vx 62 x 5/2 49. 1086 3/ z 50. 1ogb Vy 51-60. Solving equations Solve the following equations. 51. 10g 10 X = 3 52. logs x = -1 53. 1ogg x = 3 54. log, 125 = 3 55. In x = -1 56. In y = 3 1 ) 57. 7* = 21 58. 2* = 55 2), for x > 2 59. 33x-4 = 15 60. 53x = 29 sists of four T 61. Using inverse relations One hundred grams of a particu- (see figure). lar radioactive substance decays according to the function