HW5 - Section 5.1 1. 4- 3 4 5 = 4- 3+5 = 4 2 = 16 . 3- 3 3...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Section 5.1 1. 4- 3 4 5 = 4- 3+5 = 4 2 = 16 . 3- 3 3 6 = 3- 3+6 = 3 3 = 27 . 3. 9(9)- 1 / 2 = 9 9- 1 / 2 = 9 1- (1 / 2) = 9 1 / 2 = 9 = 3 . 5(5)- 1 / 2 = 5 5- 1 / 2 = 5 1- (1 / 2) = 5 1 / 2 = 5 . 5. (- 3) 4 (- 3) 5 (- 3) 8 = (- 3) 4 (- 3) 5 (- 3)- 8 = (- 3) 4+5- 8 = (- 3) 1 =- 3 . (2)- 4 (2) 6 (2)- 1 = (2)- 4 (2) 6 (2) 1 = (2)- 4+6+1 = (2) 3 = 8 . 7. 5 3 . 3 5- 1 . 6 5- . 3 = 5 3 . 3 5- 1 . 6 5 . 3 = 5 3 . 3- 1 . 6+0 . 3 = 5 2 = 25 . 4 2 . 7 4- 1 . 3 4- . 4 = 4 2 . 7 4- 1 . 3 4 . 4 = 4 2 . 7- 1 . 3+0 . 4 = 4 1 . 8 . 9. (64 x 9 ) 1 / 3 = (4 3 x 9 ) 1 / 3 = (4 3 ) 1 / 3 ( x 9 ) 1 / 3 = (4) 3 / 3 ( x ) 9 / 3 = 4 x 3 . (25 x 3 y 4 ) 1 / 2 = (5 2 x 3 y 4 ) 1 / 2 = (5 2 ) 1 / 2 ( x 3 ) 1 / 2 ( y 4 ) 1 / 2 = (5) 2 / 2 ( x ) 3 / 2 ( y ) 4 / 2 = 5 y 2 x 3 / 2 = 5 y 2 x x. 11. 6 a- 5 3 a- 3 = 2 a- 5 a 3 = 2 a- 5+3 = 2 a- 2 = 2 a 2 . 4 b- 4 12 b- 6 = b- 4 b 6 3 = b- 4+6 3 = b 2 3 . 13. (2 x 3 y 2 ) 3 = (2) 3 ( x 3 ) 3 ( y 2 ) 3 = (8)( x ) 3 3 ( y ) 2 3 = 8 x 9 y 6 . (4 x 2 y 2 z 3 ) 2 = (4) 2 ( x 2 ) 2 ( y 2 ) 2 ( z 3 ) 2 = (16)( x ) 2 2 ( y ) 2 2 ( z ) 3 2 = 16 x 4 y 4 z 6 . 15. 5 (2- 3 x- 3 y 2 ) 2 = 1 (2- 3 ) 2 ( x- 3 ) 2 ( y 2 ) 2 = 1 (2)- 3 2 ( x )- 3 2 ( y ) 2 2 = 1 (2)- 6 ( x )- 6 ( y ) 4 = 2 6 x 6 y 4 = 64 x 6 y 4 . ( x + y )( x- y ) ( x- y ) = ( x + y )( x- y ) 1 = x 2- y 2 . 17. 6 2 x = 6 4 ; since the bases are the same on each side of the equality, we equate the exponents and obtain: 2 x = 4 x = 2 . 19. 3 3 x- 4 = 3 5 ; since the bases are the same on each side of the equality, we equate the exponents and obtain: 3 x- 4 = 5 x = 3 . 21. (2 . 1) x +2 = (2 . 1) 5 ; since the bases are the same on each side of the equality, we equate the exponents and obtain: x + 2 = 5 x = 3 . 23. 8 x = 1 32 x- 2 (2 3 ) x = 1 2 5 x- 2 (2) 3 x = (2- 5 ) x- 2 (2) 3 x = (2)- 5( x- 2) = (2)- 5 x +10 . Since the bases are the same on each side of the equality, we equate the exponents and obtain: 3 x =- 5 x + 10 x = (10 / 8) = (5 / 4) . 25. 3 2 x- 12 3 x + 27 = 0 (3 x- 9)(3 x- 3) = 0 which implies that (3 x- 9) = 0 or (3 x- 3) = 0 . (3 x- 9) = (3 x- 3 2 ) = 0 3 x = 3 2 x = 2 . (3 x- 3) = (3 x- 3 1 ) = 0 3 x = 3 1 x = 1 . 41. 1982 t = 0 , R (0) = 26 . 3 e- . 016(0) = 26 . 3 e = 26 . 3(1) = 26 . 3 percent . 1986 t = 4 , R (4) = 26 . 3 e- . 016(4) = 26 . 3 e- . 064 = 26 . 3(0 . 9380) = 24 . 67 percent . 1994 t = 12 , R (12) = 26 . 3 e- . 016(12) = 26 . 3 e- . 192 = 26 . 3(0 . 8253) = 21 . 71 percent . 2000 t = 18 , R (12) = 26 . 3 e- . 016(18) = 26 . 3 e- . 2880 = 26 . 3(0 . 7498) = 19 . 72 percent . 43. No explanation required. 45. 2010 t = 6 , N (6) = 35 . 5 1+6 . 89 e- . 8674(6) = 35 . 5 1+6 . 89 e- 5 . 204 = 35 . 5 1+6 . 89(0 . 0055) = 34 . 20 million taxpayers. Section 5.2 17. 2 ln a + 3 ln b = ln a 2 + ln b 3 = ln( a 2 b 3 ) ....
View Full Document

Page1 / 27

HW5 - Section 5.1 1. 4- 3 4 5 = 4- 3+5 = 4 2 = 16 . 3- 3 3...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online