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