VIEWS: 6 PAGES: 15 POSTED ON: 2/25/2014 Public Domain
Quest Review Unit 2 Get same bases; set exponents = 1. 2x = 128 4. 9x = 27 2x = 2 7 32x = 33 x=7 x = 3/2 2. Ö3x = 243 5. 125 x = 25 31/2x = 35 53x = 52 1/2x = 5 x = 2/3 x = 10 6. 4x = 1/16 3. 8x = 32 4x = 4-2 23x = 25 x = -2 x = 5/3 Get same bases; set exponents = x (¾)x= 9/16 7. 27 = 1/81 10. (¾)x= (¾)2 33x = 3-4 x=2 x = - 4/3 11. 23x + 1 = ½ 8. (½ )x = 8 23x + 1 = 2-1 3x + 1= -1 2-x = 23 3x = -2 x = -3 x = -2/3 9. Ö2x = 1/8 12. 272x+1 = 3 (33)2x+1 = 31 2(½)x= 2- 3 6x+3=1 ½ x = -3 6x = -2 x = -6 x = -1/3 x If y = b , then log b y = x exp logbaseanswer =exp, base = answer 13. log 3 243 = x 16. logÖ3 27 = x 3 x = 243 (3½)x = 33 ½x = 3 3 x = 35 x=6 x=5 17. log264 = x 14. log 27 x = 1/3 2x = 64 271/3 = x 2 x = 26 (3 3)1/3= x x=6 x=3 18. logx64= 3/2 x3/2 = 64 15. log 5 x = - 4 (x3/2)2/3 = (26)2/3 5-4 = x x = 24 x = 1/625 x = 16 If y = b , then log b y = x exp logbaseanswer =exp, base = answer 19. log x ¼ = -2/3 x -2/3 = ¼ 22. log e e5 = x (x-2/3)-3/2 = (2-2)-3/2 e 5 = ex x = 23 x=5 x=8 20. log x5 = 1/3 23. log5x = 0 x1/3 = 5 50 = x (x1/3)3 = 53 x=1 x = 125 21. log 7 1 = x 7x = 1 x=0 x -2 24. Graph y = 5 +3 1. Inc 5 y 2. 2 R, 3↑; (2, 4) 3. D: x 4. R: (3, ∞) -5 5. y=3 -5 5 x -2 24. Graph y = 5 +3 1. Inc 5 y 2. 2 R, 3↑; (2, 4) 3. D: x 4. R: (3, ∞) -5 5. y=3 -5 5 25. Graph y = log .3 (x) – 1 1. Dec y 5 2. 1↓; (1, -1) 3. D: (0, ∞) x 4. R: -5 5. x = 0 -5 5 25. Graph y = log .3 (x) – 1 1. Dec y 5 2. 1↓; (1, -1) 3. D: (0, ∞) x 4. R: -5 5. x = 0 -5 5 26. Graph y = log e (x – 5) + 2 1. Inc y 5 2. 5 R, 2↑; (6, 2) 3. D: (5, ∞) x 4. R: -5 5. x=5 -5 5 26. Graph y = log e (x – 5) + 2 1. Inc y 5 2. 5 R, 2↑; (6, 2) 3. D: (5, ∞) x 4. R: -5 5. x=5 -5 5 27. Expand log 8 Ö x y 3 2 (1/3)(2log 8 x + log 8 y ) 28. Expand log 5 (x Öy)/ 2c 2 2log 5 x +½ log 5 y – log 5 2– log5 c 29. Write as one log: log 7y – 2log x + ½ log c 2 log (7yÖc )/x 30. Write as one log: 2 (1/3)(log 2x + log 3y) log ( Ö6x y) 3 2