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Question
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1.
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Given that log x = 3 and log y = 4, find log ![http://student.allied.edu/uploadedfiles/Images/bf234cd5-c497-4a84-a906-2e05c72a0507.gif]() .
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a. log (![http://student.allied.edu/uploadedfiles/Images/ad329c03-4521-4fd3-8fd4-4c7b68568840.gif]() )
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b. –1
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c. ![http://student.allied.edu/uploadedfiles/Images/e82ab94a-2003-4e45-8c13-4fbc759d5191.gif]()
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d. log 3 - log 4
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2.
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The radioactive element americium-241 has a half-life of 432 years. Suppose we start with a 20-g mass of americium-241. How much will be left after 377 years? Compute the answer to three significant digits.
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a. 10.9 g
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b. 12.0 g
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c. 13.2 g
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d. 13.8 g
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3.
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Graph y = ex – 2.
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4.
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Graph y = 5e–x.
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5.
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If you invest $4,500 in an account paying 2% compounded continuously, how much money will be in the account at the end of 4 years?
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a. $4,874.79
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b. $4,879.93
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c. $4,884.77
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d. $4,888.11
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6.
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Simplify. ![http://student.allied.edu/uploadedfiles/Images/345dadc3-52f2-4d07-a55f-5367d803deee.JPG]()
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a. 0
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b. 27
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c. ![http://student.allied.edu/uploadedfiles/Images/0d948e9a-c68a-4888-bd83-95673867206d.gif]()
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d. ![http://student.allied.edu/uploadedfiles/Images/3f320bbb-b653-4f51-8e6d-0d08d62520ed.gif]()
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7.
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Given that log x = 6 and log y = 5, find log (![http://student.allied.edu/uploadedfiles/Images/fd73b50b-718c-4341-a39b-0dfc588b2c6c.gif]() ).
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a. 180
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b. 4,500
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c. 27
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d. 161
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8.
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Write in exponential form. log 10 0.0001 = –4
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a. 0.0001 = 10–4
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b. 0.0001 = (–4)10
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c. 10 = (0.0001)–4
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d. 10 = (–4)0.0001
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9.
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Simplify. log 3 9
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a. ![http://student.allied.edu/uploadedfiles/Images/9d9403ab-bd9d-473e-9d09-7d975bcc580c.gif]()
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b. -![http://student.allied.edu/uploadedfiles/Images/9d9403ab-bd9d-473e-9d09-7d975bcc580c.gif]()
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c. 2
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d. –2
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10.
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Use a calculator to find log 4, 115. Round your answer to four decimal places.
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a. 3.6144
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b. 3.6357
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c. 3.7479
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d. 3.7661
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11.
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An employee is hired to assemble toys. The learning curve
![http://student.allied.edu/uploadedfiles/Images/c578f7d2-f390-496b-a220-83756693b3de.JPG]()
gives the number of toys the average employee is able to assemble per day after t days on the job. How many toys can the average employee assemble per day after 6 days of training? Round to the nearest integer.
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a. 24 toys
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b. 25 toys
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c. 26 toys
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d. 27 toys
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12.
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Write in logarithmic form. 243 = 35
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a. log 3 5 = 243
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b. log 5 3 = 243
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c. log 3 243 = 5
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d. log 243 3 = 5
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13.
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Solve. x2ex + 4xex = 0
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a. 0
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b. –4
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c. 0, 4
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d. 0, –4
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14.
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Evaluate x to four significant digits. ln x = –1.445
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a. 0.2357
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b. 0.2711
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c. 0.3589
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d. 0.4513
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15.
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Simplify. ![http://student.allied.edu/uploadedfiles/Images/9d7b619e-a80a-4726-9a7a-3783f786452b.JPG]()
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16.
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Simplify. ![http://student.allied.edu/uploadedfiles/Images/1008d4e5-f9b8-42cd-8981-9fae81bdd515.gif]()
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17.
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Use a calculator to find log 5 57. Round your answer to four decimal places.
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a. 2.3611
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b. 2.5001
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c. 2.5121
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d. 2.8251
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18.
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Solve. ![http://student.allied.edu/uploadedfiles/Images/e85941cb-fe7e-449a-87e9-35d459ed5b36.JPG]()
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19.
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Simplify. log 2 27
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20.
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Evaluate e9 – e–9 to four significant digits.
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a. 8103
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b. 8107
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c. 8111
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d. 8115
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module_7_quiz.docx
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