Quest Review Unit 2. Get same bases; set exponents = 1. 2 x = 128 2 x = 2 7 x = 7 2.  3 x = 243 3 1/2x = 3 5 1/2x = 5 x = 10 3. 8 x = 32 2 3x = 2 5 x.

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Presentation transcript:

Quest Review Unit 2

Get same bases; set exponents = 1. 2 x = x = 2 7 x = 7 2.  3 x = /2x = 3 5 1/2x = 5 x = x = x = 2 5 x = 5/ x = x = 3 3 x = 3/ x = x = 5 2 x = 2/ x = 1/16 4 x = 4 -2 x = -2

Get same bases; set exponents = x = 1/81 3 3x = 3 -4 x = - 4/3 8. (½ ) x = 8 2 -x = 2 3 x =  2 x = 1/8 2 (½)x = ½ x = -3 x = (¾) x = 9/16 (¾) x = (¾) 2 x = x + 1 = ½ 2 3x + 1 = x + 1= -1 3x = -2 x = -2/ x+1 = 3 (3 3 ) 2x+1 = 3 1 6x+3=1 6x = -2 x = -1/3

If y = b x, then log b y = x log base answer =exp, base exp = answer 13. log = x 3 x = x = 3 5 x = log 27 x = 1/3 27 1/3 = x (3 3 ) 1/3 = x x = log 5 x = = x x = 1/ log  3 27 = x (3 ½ ) x = 3 3 ½x = 3 x = log 2 64 = x 2 x = 64 2 x = 2 6 x = log x 64= 3/2 x 3/2 = 64 (x 3/2 ) 2/3 = (2 6 ) 2/3 x = 2 4 x = 16

If y = b x, then log b y = x log base answer =exp, base exp = answer 19. log x ¼ = -2/3 x -2/3 = ¼ (x -2/3 ) -3/2 = (2 -2 ) -3/2 x = 2 3 x = log x 5 = 1/3 x 1/3 = 5 (x 1/3 ) 3 = 5 3 x = log 7 1 = x 7 x = 1 x = log e e 5 = x e 5 = e x x = log 5 x = = x x = 1

24. Graph y = 5 x Inc 2. 2 R, 3↑; (2, 4) 3. D:  4. R: (3, ∞) 5. y = 3 y x

24. Graph y = 5 x Inc 2. 2 R, 3↑; (2, 4) 3. D:  4. R: (3, ∞) 5. y = 3 y x

25. Graph y = log.3 (x) – 1 1. Dec 2. 1↓; (1, -1) 3. D: (0, ∞) 4. R:  5. x = 0 y x

25. Graph y = log.3 (x) – 1 1. Dec 2. 1↓; (1, -1) 3. D: (0, ∞) 4. R:  5. x = 0 y x

26. Graph y = log e (x – 5) Inc 2. 5 R, 2↑; (6, 2) 3. D: (5, ∞) 4. R:  5. x = 5 y x

26. Graph y = log e (x – 5) Inc 2. 5 R, 2↑; (6, 2) 3. D: (5, ∞) 4. R:  5. x = 5 y x

27. Expand log 8 3  x 2 y (1/3)(2log 8 x + log 8 y )

28. Expand log 5 (x 2  y)/ 2c 2log 5 x +½ log 5 y – log 5 2– log 5 c

29. Write as one log: log 7y – 2log x + ½ log c log (7y  c )/x 2

30. Write as one log: (1/3)(log 2x 2 + log 3y) log ( 3  6 x 2 y )