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12. A 30-mg sample of radioactive isotope decays to 27 mg in 12.5 h. (a) Calculate its half-life, to two decimal places. (b) How long will it take (to the nearest hour) until only 5 mg of the sample remain?

12. A 30-mg sample of radioactive isotope decays to 27 mg in 12.5 h. (a) Calculate its half-life, to two decimal places. (b) How long will it take (to the nearest hour) until only 5 mg of the sample remain?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 20E: Half-Life The half-life of plutonium-241 is approximately 13 years. How much of a sample weighing 4...
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solve 12 a and b
Chapter 6/7 Review 10. Solve exactly. 42x-5= 7* 11. Solve. Round answers to two decimal places. 5P+4 = 24-5p 12. A 30-mg sample of radioactive isotope decays to 27 mg in 12.5 h. (a) Calculate its half-life, to two decimal places. (b) How long will it take (to the nearest hour) until only 5 mg of the sample remain? 13. Solve. Check for extraneous roots. (a) 32 - 4(3) + 3 = 0 (b) 2 = 2+ 3(2)-™ 14. Evaluate, using laws of logarithms. (a) log4 12 log4 3 (b) 3 log 6 + 2log 5 - log 54✓✓ 15. Write log3 5+2 log3 (x - 2) as a single logarithm. 16. Simplify and state restrictions necessary on the variable. (a) log(x² - 4x - 12) - log(3x - 18) (b) log(x² - 9) -log(x − 3) MHF4U Date: 17. Solve. Check for extraneous roots. log3 (3x + 7) = 2 (b) log5 (2x + 1) = 1 - log5 (x+2) 18. Solve log4 (3x - 1) + log4 (x+5) = 2 Round your answers to two decimal places and ch 1. (a) log, 625 = 4 (b) log, 12 = x (c) log12 y = 3 2. (a) 8 10² (b) 8-2 log 32 (c) 8 log 8 9. (a) x = 10 (b) x = //
Transcribed Image Text:Chapter 6/7 Review 10. Solve exactly. 42x-5= 7* 11. Solve. Round answers to two decimal places. 5P+4 = 24-5p 12. A 30-mg sample of radioactive isotope decays to 27 mg in 12.5 h. (a) Calculate its half-life, to two decimal places. (b) How long will it take (to the nearest hour) until only 5 mg of the sample remain? 13. Solve. Check for extraneous roots. (a) 32 - 4(3) + 3 = 0 (b) 2 = 2+ 3(2)-™ 14. Evaluate, using laws of logarithms. (a) log4 12 log4 3 (b) 3 log 6 + 2log 5 - log 54✓✓ 15. Write log3 5+2 log3 (x - 2) as a single logarithm. 16. Simplify and state restrictions necessary on the variable. (a) log(x² - 4x - 12) - log(3x - 18) (b) log(x² - 9) -log(x − 3) MHF4U Date: 17. Solve. Check for extraneous roots. log3 (3x + 7) = 2 (b) log5 (2x + 1) = 1 - log5 (x+2) 18. Solve log4 (3x - 1) + log4 (x+5) = 2 Round your answers to two decimal places and ch 1. (a) log, 625 = 4 (b) log, 12 = x (c) log12 y = 3 2. (a) 8 10² (b) 8-2 log 32 (c) 8 log 8 9. (a) x = 10 (b) x = //
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