Write each expression in Exercises 1-14 in the form 2 or 3kx, for a suitable constant k. m 1. 4*, (3)*, ()* 3. 82/3, 93x/2, 16-3x/4 5. ()*, ()-, ()*/2 15 12 9 5 22x 34x 25x+1 9-x 32 2.2-' 27-x/3 7. 6.3. 9. > 2. 27, (2)", ()* 4. 9-/2, 84/3, 27-2x/3 6. (), ()/, (+)-2/2 16 2 32x 6 182 2* 3-5* 16* " 6 3-2x 8-2 -X 8. 7.14, 1 MAINTEN 11. 23. 2-5a/2, 32x. ()x/3 12. 25/4. ()*, 3-2x - 35x/2 13. (2-3.2-2x)2/5, (91/2.94)/9 14. (3.32/5)5, (16/4.16-3/4)3x 15. Find a number b such that the function f(x) = 3-2 can be written in the form f(x) = 6. 16. Find b so that 8-*/3 = b for all x. - 23. 3(2.7) 5 = 8.1 25. (2+1.2-3) = 2 10. Solve the following equations for a. 17. 52 = 52 19. (2.5) 2+1 = (2.5)5 21. 10- 100 " - 18. 10- 10 20. (3.2)-3 (3.2)5 22, 24- 8 24. 4(2.7) 2- = 10.8 : 26. (32-32)4 =3 = 27. 234.25 29. (1+x)2--5-2* = 0 30. (2-3x)5 +4.5 = 0 31. 2 8 22x - = 0 0 2x [Hint: In Exercises 33-36, let X = 2 or X = 3.] 33. 2262 +8=0 H 35. 3212-3+27= 0 The expressions in Exercises 37-42 the missing factors. 37. 23+h = 2 ( ) 39. 2+2 = 2* ( ) 41. 3/2 +3-2/2 = 3-x/2( 42. 57/2 - 52/2 = 5* ( 28 353-3=0 32. 2 - ) ) 1 34. 22+2 - 17.2 + 4 = 0 36. 2242 - 32 = 0 may be factored as shown. Find 38. 52+h=25( ) 40. 5+h+ 5 = 5* ( ) Technology Exercises 43. Graph the function f(x) = 2 [-1,4], and estimate the slope in the window [-1, 2] by 0. of the graph at x = 44. Graph the function f (x) = 3 in the window [-1, 2] by [-1,8], and estimate the slope of the graph at x = = 0. 45. By trial and error, find a number of the form b= 2.0 (just one decimal place) with the property that the slope of the graph of y= b at x = 0 is as close to 1 as possible.