Page 23 of 45 Print Beginning Intermediate Algebra 1312014

# Page 23 of 45 print beginning intermediate algebra

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Page 23 of 45 Print | Beginning & Intermediate Algebra 1/31/2014 ...
PRINTED BY: [email protected] Printing is for personal, private use only. No part of this book may be reproduced or transmitted without publisher's prior permission. Violators will be prosecuted. Student Practice 9 Evaluate. (a) log 7 1 (b) log 8 8 (c) Find y if log 12 13 = log 12 ( y + 2). We now have the mathematical tools needed to solve a variety of logarithmic equations. EXAMPLE 10 Find x if 2 log 7 3 4 log 7 2 = log 7 x . Solution We can use property 3 in two cases. By substituting these results, we have the following. log 7 9 log 7 16 = log 7 x Student Practice 10 Find x if log 3 2 log 3 5 = log 3 6 + log 3 x . 744745 12.3 Exercises Express as a sum of logarithms. 1. log 3 AB 2. log 12 CD 3. log 5 (7 · 11) 4. log 6 (13 · 5) 5. log b 9 f 6. log b 5 d Express as a difference of logarithms. 7. 8. 9. 10. 11. 12. Express as a product. 13. log 8 a 7 14. log 3 c 8 15. log b A 2 16. log a B 5 17. Page 24 of 45 Print | Beginning & Intermediate Algebra 1/31/2014 ...
PRINTED BY: [email protected] Printing is for personal, private use only. No part of this book may be reproduced or transmitted without publisher's prior permission. Violators will be prosecuted. 18. Mixed Practice Write each expression as a sum or difference of logarithms of a single variable. 19. log 8 x 2 y 20. log 6 xy 4 21. 22. 23. 24. 25. 26. Write as a single logarithm. 27. log 4 13 + log 4 y + log 4 3 28. log 8 15 + log 8 a + log 8 b 29. 5 log 3 x log 3 7 30. 3 log 8 5 log 8 z 31. 32. 745746 Use the properties of logarithms to simplify each of the following. 33. log 3 3 34. log 7 7 35. log e e 36. log 10 10 37. log 9 1 38. log e 1 39. 3 log 7 7 + 4 log 7 1 40. Find x in each of the following. Page 25 of 45 Print | Beginning & Intermediate Algebra 1/31/2014 ...