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1. Today’s Agenda
 Attendance / Announcements
 Section 4.4
 No MML HW this week
 Project 3
 Due MONDAY 3/23
 Exam 4 (Chapter 4)
 Wed 3/18

2. Solving Exponential Equations
63
22 
 xx
644 92
x 52
328 
 xx

3. Solving Logarithmic Equations
    07log15log  xx

4. But these “one-to-one” equivalent
properties won’t always work….
254 x
We will need to apply the
“inverse” properties of logs and
exponentials

6. Method #1
254 x

7. Method #2
254 x

8. Solving Exponential Equations

9. Solving Exponential Equations
42)2(3 x
234 2
x
e

10. Solving Exponential Equations
4318 2
x

11. Solving Logarithmic Equations
We can think of the inverse of logs
as “exponentiating” both sides

12. Solving Logarithmic Equations
34log2 x2log x

13. Solving Logarithmic Equations
43log2 5 x 1.23ln x

14. Solving Logarithmic Equations
   2ln112ln  xx

15. Solving Logarithmic Equations
    26log6log  xx

16. Radioactive Half-Life
• Carbon-14 is a radioactive isotope of
carbon that has a half-life of 5600 years. It
is used extensively in dating organic
material that is tens of thousands of years
old. What fraction of the original amount
of Carbon-14 in a sample would be present
after 10,000 years?

17. Classwork / Homework
• Page 250
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