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Unformatted text preview: Graph the function. 19) Use the graph of f(x) = 3X to pbtain the graph of g(x) = 3X " 1 + 2.
A ’ 2’ Solve the problem. t+ 1 ..
20) The formula S = models the value of a retirement account, where A = the number of dollars added to the retirement account each year, r = the annual interest rate, and S = the value of the retirement account after t years. If the interest rate is 11%, how much will the account be Worth after 15 years if $2200 is
added each year? Round to the nearest Whole number. 0 (mm! 4:29. l l' if ‘56?” 3 9:5 y) l 21) A sample of 700 g of lead210 decays to poloniumu210 according to the function given by A(t) = 700e—0032t,
where t is time in years. What is the amount of the sample after 100 years (to the nearest g)? l __ .. 0%.?(101) /\ :— 77 m: (2 ' A». genes 0 Write the equation in its equivalent logarithmic form.
22) c3 = 1000 Mrs Hestz'yas Graph the function.
24) Use the graph of log 5 x to obtain the graph of f(x) = 2 + log 5 x. Evaluate the expression without using a calculator.
25) log7 718 26) 10%;;
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27)log28
25 “a? : (:7 Find the domain of the logarithmic function. 28) f(x) = 10g[x + 7] x—8 x+q>o Mrs Hesriyas Evaluate or simplify the expression without using a calculator.
29)3[1010g 5.2] 3 (emf1) Solve the problem. 30) The long jump record, in feet, at a particular school can be modeled by f(x) = 18.1 + 2.2 ln number of years since records began to be kept at the school. What is th
record started being kept? Round your answer to the nearest tenth. (SJH4); 1%.} +333 \LWULHL') (x + 1) where x is the
e record for the long jump 14 years after 1/799 «/ Ito4+ {J Evaluate or simplify the expression without using a calculator.
31ilog0a0s1 . —
1 DC?) 1 0 EU Evaluate the expression without using a calculator.
32) eln 153 ..L_J_._——K Write the equation in its equivalent exponential form.
33) log b 64 = 2 [m Use properties of logarithms to expand the logarithmic ex
logarithmic expressions without using a calculator.
34) log2 (8x) pression as much as possible. Where possible, evaluate Mrs Hestiyns solution.
35)e2x+eX—6=0
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Solve the logarithmic equation. Be sure to re
expressions. Give the exact answer. 36)1n(x—6)+ln(x+1)=ln(x— 15) c/ j eat any value that is not in the domain of the original logarithmic (luch ‘
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(x95) (X~%)’:O Solve the problem. In 0 S o C m . 37) The formula A = 11841024t models the pop mm city, in thousands, t years after 1998. When
will the population of the city reach 140 thousand? a (52L, E '
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(f: if} C GUYS Ll ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +‘+++++ Solve the logarithmic equation. Be sure to reject any value that is not in the d
expressions. Give the exact answer. 38)log(x+20)—log2=log(3x+4)
M20 .. lo (axeii)
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><+2e 1.: BX'i—‘i
.1
XilﬁzéxX'l'g omain of the original logarithmic IQ: 5X
~L2_.
xi]? .2tz : 3XF3’H~ Solve the logarithmic equation. Be sure to reject any value that is not in the domain
expressions. Give the exact answer. 40)log3(x+6)+log3(x—6)log3x=2 CNch_, 3% we we) : 9‘: 11 a
X.:__% iDjperY/ 9x (03 “2%)+loagbznmJoj312 a 2_
a ‘ 3 ‘ 3 e [X“é')(,x'*62  3'2 loo 1% +l03 (suit)? 12 3 2
—to —%):2 J77” ’ J. 3 3 3 of the original logarithmic VUO giolciim i 1 i {LL :
L X —36 : (j “)3 Mrs Hestiyns Use properties of logarithms to expand the log
logarithmic expressions without using a calculator. arithmic expression as much as possible. Where possible, evaluate 4? 3,— a a,"
41)10ga L “5 [DO Xi} [£30le5 % [039” 2) % L to XL]#loo CoxJr?)
cl {3:} 3‘ A)? l ,
[03 Lxgjm—u [03:1 (x—Hf‘ 00
r? 7 Use common logarithms or natural logarithms and a calculat or to evaluate to four decimal places
43) log0 7 15 (be) Jim “a”
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 Fall '11
 BlisinHestiyas

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