University:
Missouri State University
Course:
MTH 136 | Precalculus 1
Academic year:

2019
Views:

474

Pages:

4
Author:

Payton Perry

LESSON 8.5 NAME Kes DATE Practice B For use with pages 493-499 Lesson 8.5 Use the properties of logarithms to rewrite the expression in terms of log 3 and log 4. Then use log 30.477 and log 4 = 0.602 to approximate the expression. 1. log(3/2) =- 2. log(12) 3. log(9) 4. log 16 6. log(1/4) 6. log(4/27) Expand the expression. 7. log_6(3x) 8. log_2(x/5) 9. log xy 10. log_a((xy)/3) 11. log_3(sqrt(x) * yz) 12. log_5(2) * sqrt(x) 13. log((x ^ 2)/4) 14. log(10/(sqrt(x))) 15. log_2((x ^ 2 * y)/z) Condense the expression. 16. log_3(7) - log_3(x) 17. 2 * log_5(x) + log_5(3) 18. log_4(5) + log_4(x) + log_4(y) 19. 1/2 * log(x) - log(4) 20. 2/3 * log_2(x) - 3 * log_2(y) 21. log_3(4) + 2 * log_3(x) - log_3(5) Use the change-of-base formula to rewrite the expression. Then use a calculator to evaluate the expression. Round your result to three decimal places if necessary. 22. log_3(12) 23. log_5(2) 24. log_4(0.5) 25. log_0.8(12) 26. log_1.5(2.8) 27. log_(1/2)(6) Henderson-Hasselbach Formula In Exercises 28-32, use the following information. The pH of a patient's blood can be calculated using the Henderson-Hasselbach Formula, pH =6.1+log C ^ B where B is the concentration of bicarbonate and Cis the acid. The normal pH of blood is approximately 7.4. 28. Expand the right side of the formula. 29. A patient has a bicarbonate concentration of 24 and a carbonic acid concentration of 1.9. Find the pH of the patient's blood. 30. Is the patient's pH in Exercise 29 below normal or above normal? 31. A patient has a bicarbonate concentration of 24. Graph the model. 32. Use the graph to approximate the concentration of carbonic acid required for the patient to have normal blood pH.