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Solve. Solve the exponential equation. Express the solution set in terms of natural logarithms. In 3 B) 3 In 81 Diff} Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator 45) 10511 45) A) og 3-los - log11* c105, 3-2 1051 y-2 log1 B) {10813-2 105,1 - 10511 D) 7 10811 3-2 10811-10511? 46) - Solve the problem. 46) The long jump record, in feet, at a particular school can be modeled by f(x)=20.125 In (x+1) where x is the number of years since records began to be kept at the school. What is the record for the long jump 6 years after record started being kept? Round your answer to the nearest tenth A) 25.0 feet B) 22.6 feet 24.1 feet D) 24.6 feet Solve the problem. 2) The size of the raccoon population at a national park increases at the rate of 4,3% per year. If the size of the current population is 157, find how many raccoons there should be in 4 years. Use the function f(x)=1570.0437 and round to the nearest whole number A) 190 B) 184 186 D) 188 2) ---4-1) 3) Use the compound interest formulas A-P1. and A-Pet to solve. 3) Suppose that you have $10,000 to invest. Which investment yields the greater return over 6 years: 8.75% compounded continuously or 8.9% compounded semiannually? A) Both investment plans yield the same retum. B) $10,000 invested at 8.9% compounded semiannually over 6 years yields the greater retum. $10,000 invested at 8.75% compounded continuously over 6 years yields the greater retum. Evaluate or simplify the expression without using a calculator 5) log 0.001 A)- 03 D) -3 5) Solve the problem. 6) The function A-Age-0.01155* models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 900 pounds of the material are placed in the vault, how much time will need to pass for only 159 pounds to remain? A) 155 years B) 150 years C) 160 years D) 300 years 7) The function f(x) - 600(0,5)</80 models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 140 years. Round to the nearest whole number A) 525 pounds B) 171 pounds C) 178 pounds D) 404 pounds

Answer 1

44. €32 = 8 on Taking log both sides ence3x) = ln (8) [:: encab)=bena 32 ence) - en (8) [o'lne = 1 3x Een (8) x=en(8) 3 optionc US. log11 (-/ yax [ loga - loga = 809,1 (13)- logo cy?x) (5) (6) - Poga cc)] 4209 (3)-(809,,(y')+809,,(x)) (o loga 16%) = clog(6)] 209,(3)– (2809,64)+ 109,(*)) → 109, (30) = 4209,(3) - 28091(4)-809,62) Obtion b 7 CS Scanned with CamScanner