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96test4ans

# 96test4ans - Math 96 Test 4 Name ANN E RS Show work for...

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Unformatted text preview: November 17, 2011 Math 96 - Test 4 Name ANN E RS Show work for full credit. 1. Solve the inequality x2 — 4x — 5 s 0. KL—Li X “5100858“qu __ + (x—SXxMB =0 -7 5 )K—S: X+i=O ,,,, w X=§ Oovorx=4 [.9351 i I "2 2. Let f(x) = x2 — 4x and g(x) = x + 2. Find (f o g)(x) = f(g(x)). iﬂkxm: ”iQH—Z): [email protected] vzﬂer‘hH—Li ‘1x-2 :Xb;li 5 ‘/ Ks)! +1 xJi LY *’ " ‘ ' 5 ><~4 = y 3 5 Xv”! 3 by Abile : b. Let g(x)=e5x. Given thatgisaone— to— one function, find g'l(x) .. Oﬁx ya i- in x - ”5 K39 5)) S - y 5 in: MC, 7 J51 November 17, 201 1 Math 96 - Test 4 page 2 of 3 Write the equation in logarithmic form. ' Write the equation in exponential form. 4. 26 = 64 5. log381= 4 lQF'szé‘lI ltl=3ql Evaluate the following logarithmic expressions. Do not use a calculator. ‘l/z 6. log5125 i? 7. log9 —1— : [O 3) \5 37 . "b V \/ .. 5 ~ 7. , 2. ‘ (0:35 : ln '5 _ in 3 ‘ 2. __ Ill lV\ ? ln 3 ,__.- _ 1 M?) - l _ l \ ; /’L : /’L. : w 72‘ 2 MB 2- Z l l I ._ 1,. 3‘ ‘2 2. L! 8. Use proprties of logarithms to write as the sum, difference, or product of logarithms: xzi/E 2. VS ‘5 logv Z5 : log? x )I _ [037 2 9. Given log) 2 = 0.277 and logh 5 = 0.644, find each of the following. a. logh10 : fem??? b. 10gb: : \$sz ~ )0be 5‘ :2 {05b 8 + {03h ‘3 :_ [03* 25 __ {03‘ 5, ‘ ; 0.937 + O- (994/ . : 5 log“ Z—~ n.3,: 5 : 340.277) - 0,649 :loﬂﬂll :lml c. logh2\/§ : (035 1.sz d. logh2b5 , ~: (03:, 2_ .1, ’03:: 5‘“ 1 (03h g + (03h lab '5 banal/Jib?“ E ; 0,277 + ’5 ( , , 7:. 0.2.77 +1 (0&qu :__ 5.17:; :- 1:] November 17, 2011 Math 96 — Test 4 page 3 of 3 Solve each exponential equation. Where appropriate, include approximation to three decimal places. 10. 4‘“1 =8 n 11. 5X=27 21‘3”" : 23 in s X = in 27 2“” = 23 x in g : in 2‘4 Q:::3 x: MK 3.2952 “use “‘5‘ LG 9 X _——- :ichgl 12 8""3=17 i“ gx—B :iw'i? X—}: in )7 (#3) \“X 3 M ‘7 In 2? __ in i7 2-3332 ~ — + : M W“ if»? X 3 Mg 3+ 2.077% ing V‘ : 3 + LBCa'L 2 H.361], Solv'e each logarithmic equation. Where appropriate, include approximation to three decimal places. 13. log5 (x+2)+log5‘(x—2)=l u 14. log4 (x+6)—log4x=2 {535 Q<+z\(x_7_§: 9 A53" x:c, : 2. ‘2‘ ‘ loggosz-HBv Z x+ca __ if: no K __L1 : S : S X 2__ )g-Ho: Max x ~ 9 A ._« :/ ~x=la X: ixlri 11:3 (A GK K _ e. K—-*:——— 15. How many years, to the nearest tenth, will be needed for \$5000 to increase to \$7500 invested at 4.8% annual interest compounded continuously? Use P(t) = Poe”. 7500 : 5000 do”: 7500 ; e'oqyt .042 cm? 5190C) _. .0421: I /.‘.> '3. Q 3 (“Ll 7/906 M L5 : -O'7’Xt ‘6 : iIA its o,‘-IO§§ A ...
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96test4ans - Math 96 Test 4 Name ANN E RS Show work for...

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