1. Section 7 – Natural Logarithms
Chapter 11
Section 7 – Natural Logarithms

2. The Natural Logarithm
Like we learned that log x is the common logarithm because it has a base of 10, the natural logarithm is called this because it has a base of e.
Therefore, ln x = logex

3. Change of Base Formula
One interesting thing about ln x is that it works just like log x in some cases.
One such case is the change of base formula.
For instance, if we want to evaluate log6254, we have two options:
(log 254)/(log 6) OR (ln 254)/(ln 6)

4. Examples
EX 1: Solve 6.5 = (ln x)
EX 2: Solve 32x = 7x-1

5. Assignments Chapter 11, Section 6 pgs 736-737 #18-22E,30-40E,61
Chapter 11 Review
pgs #12-20E,28-52E,60-66E