1. Essential Question: How do I graph & solve exponential and logarithmic functions?
Daily Question:
What are the properties of logarithms and how do I use them to solve equations?

2. Remember these Properties of Logarithms
Product Property
Quotient Property
Power Property

3. More Properties of Logarithms

4. Strategies for solving Equations
1. Make sure they have the same base
2. Rewrite an exp. eqn. in log form
3. Rewrite a log. eqn in exp. form

5. Ex. 1
Check (2)

6. Do not forget to check!!! Why did it not come out exactly right?

7. Ex. 3
Check (-1)

8. Ex. 4
Check (-5)
Can’t have a log(negative number)
Check (2)

9. Solve Ex. 5 Divide both sides by 2 Exponentiate each side
Inverse property
Divide both sides by 3

10. Ex. 6 & 7
Solve each Equation

11. Solve Ex. 8 Add 4 to both sides Divide both sides by 2
Take log (base 3) of each side
Inverse property
Add 5 to each side
Divide both sides by 2
Use a calculator

12. Solving Logarithmic Equations
Ex. 9 & 10
Solving Logarithmic Equations
To solve a logarithmic equation, exponentiate both sides.

13. Solve Ex. 11 Subtract 5 from both sides Divide both sides by 2
Exponentiate each side.
Inverse Property
Use a calculator

14. Homework
Day 9 on assignment sheet