# Log answer key - VLExponential and Logarithmic Functions...

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Unformatted text preview: VLExponential and Logarithmic Functions Name: .' L0 7 CQL Date: Section: Solve the problem. \ 1i 1) The rabbit population in a forest area grows at the rate of 7% monthly. If there are 180 1) m S rabbits in September, ﬁnd how many rabbits (rounded to the nearest whole number) should be expected by next September. Use y : 180(2.7)0-07t. t} :1%o (asfowz) ﬂ :Lfll-t'ggcj (jet. LHb’ rabbis Approximate the number using a calculator. Round your answer to three decimal places. 2m 3M 334406993; QEJLFOB Graph the function. 3) Use the graph of f(x) = eX to obtain the graph of g(x) : ex ‘ 3. 3) Mrs Hestiyns . Solve the problem. 4) The population in a particular country is growing at the rate of 2.1% per year. If 2,546,000 4) O l 04 00 07; people lived there in 1999, how many will there be in the year 2007? Use f(x) : yDeO-02th and round to the nearest ten—thousand. ‘- O 2 I ‘3 ) 1,695,000 6) .— 30 I I 7 6641’! Write the equation in its equivalent exponential form. X 5) tog6 216=x 3M g“; 52!!) Write the equation in its equivalent logarithmic form. aw” (34393 .2} 6)[ﬁ# 10 :i 1.1—— 3593 3 Evaluate the expression without using a calculator. ——l .2. :v; /2_ 7)10g5 «5 b 7) 5 ea WW W X , 8) log7 718 f X {tn—it;— (8/ Find the domain of the logarithmic function. x z 1 it, 00 gm um] Xﬂr >0 mg X 7 3F (:1 m0) Evaluate or simplify the expression without using a calculator. 3 10) lolog % a Ur +7 W LC] 10) L 3t; [0305‘ _ x ., +++++++++++++++++++++++++++++++++++++++++++++++++++++++Eikj +++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ Mrs Hestz‘yas . ’Evaluate the expression without using a calculator. [1,. 11)eln8x4 Cr 11) Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. 12) log (1000x) 12) 3+ 103. 5 10:] [Doc + log K 3 I loam “tow sow Use properties of logarithms to condense the logarithmic expressmn. Write the expression as a single logarithm w coefﬁcient is 1. Where possible, evaluate logarithmic expressions. 13)%[4h1(x+3)-1nx—ln(x2—8)] .i:)t'r.'\.} 7;"; 1-11 it “:5: Iii/V! up???) _ VQ/V‘ LXL—F% >3 it”(lx7 cw lt'ox .h 1 Pit/lac;- DHBDL’ — QM x [X as) L’ Li ‘br l *L o. T? :1, : )!;'-«]i"r"ti.w' __L haw Cw‘gb'it'evvi “‘rqatr') :} 5: X 03%) _, Ly, L1;— . ‘ - iCUW? elf-t” W Y U rs) ' J pression as much as possible. Where possible, evaluate {7 ‘; r» \‘ .jiJsiermperties of logarithms to expand the logarithmic ex 3 7 l r .i in? 0 e c) [C l 14) 10g5 "l a” “1’; _ a J ' y’ 'l :’ gain—\f7- -9 is 7 7_ b 77“, ,. 7'14) \CQ ‘1‘“ l 7 K1 imth :— [Dolmva 1V " f7 \ I; 2' ‘80:: Eli ;_ it“: no _. 0‘ 7L" (7 3/0”) t lug-C] Ki" —— loci Ir» 3 w‘ J 7 \ \J‘F' ‘ Q 1.] ‘ I: r) V?) (a V74 ” I) 1 m. “f (A ICU”? a] m 4 U? "0 ﬂ 1% “K \ Use gunman logarithms or n ral logarithms and a calculator to evaluate to four decimal places 15) Iogn 25 sissy? .. L“ 213‘ it; Q -. (GM . VQLM W lb " MW; 0? H V' [(33 b V 1'] _ k 5233!“? g ' / 15) +++++++ ++++++++++++ +++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++ ++++++++++++ +++++++++++++ +++++++++++ Mrs Hestiyas ‘ ‘Solve the equation by expressing each side as a power of the same base and then equating exponents. 16) ex+8 16) __ Solve the exponential equation. Express the solution set in terms 0 natural logaritleij x+4= 2x+5 1704 (x :0 r—lent-g) xi“? + ngmur : ambgﬂkgvﬂh? Li I +4? X.lﬁ9*axﬁw§ 3 girl's”? Lfi‘nlf ' Kips-LIE) ‘1” J ' xQ/‘O : “can but ” Mauiméj : subhﬂm 'XH}. van 5 : ZX-l—Ef) ML: ‘ - ﬂ 55\$”??? qvﬂhq i Lt ( X?) W” *2“; Solve the logarithmic equation. Be sure to reje any value that is no‘tﬂin t e domain of the original logarithmic expressions. Give the exact answer. 18) log5 (x + 5,) — logE (X'— 3) = 1 1.in ., .1; i v Kit/5H : Xi} I“ ' i'rgﬂiaal : { 18) — [ TEE-1’ +++++++ ++++++++++++ +++++++++++++ ++++++++++++ +++++++++++++ +++++++++++++++++++++++++ ++++++++++++ +++++++++++++ +++++++++++ Mrs Hestiyas - 'éolve the problem. 19) The population of a particular country was 21 million in 1984; in 1990, it was 25 million. 19) The exponential growth function A =2flekt describes the population of this country t years after 1984. Use the fact that 6 years after 1984 the population increased by 4 million to find k to three decimal places. I ‘ \—‘—.~______. Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the expressions. Give the exact answer. 20)h’1(x~8)—]_n(x+7):ln(x-—10)—In(x+8) .. original logarithmic 20) x f m L ____’_, Ln e. i I Mrs Hestiyas ...
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• Fall '11
• BlisinHestiyas
• Natural logarithm, Logarithm, decimal places, logarithmic equation, equivalent logarithmic form, Mrs Hestiyas

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Log answer key - VLExponential and Logarithmic Functions...

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