1. Warm-up: p 731 #58, 61 and 64

2. Answers: 58. a) 1.7 miles b) 6 psi 61. Between 2 and 3 64.

3. Homework:

4. Section 11-6: Natural Logarithms In this section we will answer… What’s natural about a logarithm? Why would I ever need a natural log when I’ve got common logs? When and how do I use natural logs? I wonder if Ms B. would really put a word problem on a test?

5. What is a Natural Logarithm? It is a log whose base is e. It has its own abbreviation.

6. Natural Logs work just like any other log.

7. You can use them to change bases. You can solve equations. Let’s check that by graphing!

8. And don’t forget…WORD PROBLEMS! Remember this? Now you can solve it! Sammy has $1000 she would like to have $4000 dollars to put down on a new car (Sammy says “Who cares about depreciation? I LOVE the smell of a new car!) If she can get continuously compounding interest at 6.5%, how long will it take her to reach her goal of $4000?

9. Chapter 11 Practice: Sage and Scribe You and your partner will take turns doing the problems. Person 1 is in charge of recording the solving to the odd problems and Person 2 is responsible for the evens. The person NOT writing leads the solving. The recorder MUST solve the problem according to the solver’s directions. The recorder may offer help and suggestions but the solver has the final say.

10. Chapter 11 Practice Answers:

12. Homework: P 736 #19 – 51 odd, 55, 59 Unit 4 Test on Thursday!!!