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Quest Review.ppt

VIEWS: 6 PAGES: 15

									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

								
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