1. Mini-Theme – Capitals!

2. Review Answers

3. What is the capital of Syria?  Damascus

4. Follow up on Warm Up  Solve using ln and exponential rules  Solve using the intersection on the calc

5. Proofs of ln and log properties  Pick any two numbers M and N.  Show that:  This goes back to the old exponential properties.  When multiplying same base – add exponents  When dividing same base – subtract exponents

6. How do we expand log and ln?  Example: Expand  More examples…..

7. Kinshasa is the capital of what African country?  The Democratic Republic of the Congo

8. Prove Exponent Multiplicative Property  Show with numbers – choose a number for M and k.  This is also a repeat of the exponent property  When you raise a power to a power you multiply  Examples….

9. Practice:

10. CFU  What is the capital of Wisconsin?  Who wrote the constitution?  Who was the 4 th President of the US?

11. Equation Solving  Two ways to solve equations  Take the ln or log of both sides then solve  Rewrite as an ln or log then solve  First we need to review the change of base property  Solve each of these:

12. Solving both ways

13. Homework  These are pictures from what capital city of Malaysia?

14. Homework