Download - Lesson 37: Log and Ln properties
LESSON 37: LOG AND LN PROPERTIES
Mini-Theme – Capitals!
Review Answers
What is the capital of Syria? Damascus
Follow up on Warm Up
Solve using ln and exponential rules Solve using the intersection on the
calc
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
How do we expand log and ln? Example: Expand
More examples…..
Kinshasa is the capital of what African country? The Democratic Republic of the
Congo
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….
Practice:
CFU
What is the capital of Wisconsin? Who wrote the constitution? Who was the 4th President of the US?
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:
Solving both ways
Homework These are pictures from what capital
city of Malaysia?
Homework