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Warm Up Feb. 13 th. Homework Answers . #25 – 57 ODD 25. 5 27. ln4 = 1.386 29. e -7 = 0.00091 31. 5 33. 0.1 35. 1 37. x 2 39. 5x+2 41. x 2 43. log570 = 2.756 45. ln10 = 2.303 47. -2log 5 0.2 = 2
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Homework Answers #25 – 57 ODD 25. 5 27. ln4 = 1.386 29. e-7 = 0.00091 31. 5 33. 0.1 35. 1 37. x2 39. 5x+2 41. x2 43. log570 = 2.756 45. ln10 = 2.303 47. -2log50.2 = 2 49. 3-log2565 = -6.142 51. -ln0.6 = 0.511 53. 0 55. ln5 = 1.609 57. 2ln108 = 9.364
Homework Answers • Circled Problems: • 79. e-3 = 0.050 • 85. 103 • 89. e2 – 2 = 5.389 • 91. e – 1 = 1.718 and –e – 1 = -3.718 • 93. 2 • 95. No real solution
Applications of Logarithms 1. Carbon 14 has a half-life of 5760 years. Find the age of a specimen with 24% C-14 relative to living matter.
Find the time period required for $7000 invested at • 10% compounded semi-annually to grow to $10,000.
The value of an investment is given by f(x) =237.50(1.052)x, where x is the number of 6-month periods. Find the number of complete periods until the investment is worth at least $600.
4. Cell population doubles every 3 hours. How long would it take 4 cells to reach a count of 16,384 cells?
5. The number of people in the Denver suburban area has grown exponentially since 1950 according to the equation A(t)=Poekt. In 1950 there were 350,000 people, and in 1960 there were 705,300 people. How many people lived in the Denver suburban area in 1980?
Homework • Solving Applications Using Logarithms Worksheet • You must show all work & solve using logs • Check answers using the calculator.