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35) Solve the problem. The size of the bear population at a national park increases at the rate of 4.3% per year. If the size of the current population is 108, find how many bears there should be in 5 years. Use y yo 0.043t and round to the nearest whole number A) 138 B) 132 134 D) 136 Use properties of logarithms to condense the logarithmic expression Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions log x + log (2.9)-log-log(x-3) A) long x 23) log203) 1) log x= x= }} D) log -2) 10 - Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator 37) A) In 7 B) In ox D) Zin Blog,0%) A) 1 B) 7 1.log, D) 1083 39) A) los 7 13 Blogg 13 - logg? D) los 7-105313 los 7 log, 13 Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. Contog (x+25)- log 2log 5x+1) A) B) D) 40) o{3} {y-22-2 41) Decide if the system of equations in two variables is linear or nonlinear. 1.2.2.3 A) Linear B) Nonlinear Write the form of the partial fraction decomposition of the rational expression. It is not necessary to solve for the constants. 5x - 3 6x - 5)(2+x+5) 42) A) A X-5 2.2.5 X-5 2.2.5 D 256-53622x+5) 2+x+5 (-5)=x+5)

Answer 1

Given, the sige of the bear population at a national paste increases at the rate of 4.3 % per year. If the size of the current population : 108 many bears should be there in 5 years. 0.0434 Use To find, how Solution We have, te 5 years. Olge of the current population is 108 le., g = 108 Cat t= 0) 801 0.0437 0.0435 y = 108 é 0.215 = lore =10 8 X 1.239862 123, 905096 134 crounded to the nearest whde oumber). 1 - Answer: option 0134

30 Given loga + log (2²9) - log 7- log (21-3). To use. progueaties of logarithotos to condense the logenitale expression, and to write the expression as a slogle logarithm whose coefficient dolu top: we have, loga+ toge 2²9) - log7-tog (21-3) log Cacaq)) - log7 - log (21-3) log (alcon* 4) - log (2-3) note: = log facang I loga tlogh + 2-3 log (acea) = log cab) tog a-logo = log (2) x 21-3 (وما وما = 7c2-3) فود و وعد = log (acento ancora) = log (or (2+ 31) = (1+2) (91-32 Answer: option A) log 21.02+3) 7

To user properties of logarithtes to expand the logaritheoic expression as much as possible, and De logarithme expression evaluate I note: loga caby = blog a Silen, luas 8pluton In cath Lucas Answer: option 9 Lance 88) Giren, logy CT2) Solution log, (7 + log, (2) E It log can Answer: option c) 1+ log, a 39) Given, log (7) Spletion logo (17) tog (7) - log (13) Answer: Option D) log, 7-log, 13] Log (721) s note: Hog.cab)=log, ca? Hog.c) log cad=1 Dote: = log ca-log Cb2

40) Ghren, Log C2+25) - log 2 = log (52.+1) To solve the logarithmic expression solution Tog (24+25) – log 2 = log (52+1) * log (425.) = log Conto laga-log ba log(a) log (crowd=loglgend Then, from = grow Dole? J → 21+25 2 52+1 ta 21+25 10 2+2 25-22 102-2 29 = 92 2 = 28 option D) 23 Answer: Giren, y = x 2 akty² = 6 To decide 8 the system of equation & hear or solinear souffon: The geken cystern of equations in two variables pen-lihean Answer: Loption B) non-linear

422 Giren, 521-3 (21-5)(2²+2+5) To write, the ports of the partial praction decompito solution 52-3 Batc (1-5) 6x²+245) 2-5 a7345 + Answer: option A) K + Batc 2+245 21-5
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