1. Section 9.4 Properties of Logarithms
Review Basic Properties of Logarithms
logb1=0 logbb=1 logbbx=x blogbx=x
The Product Rule
The Power Rule
The Quotient Rule
Writing Expressions as a Single Logarithm
The Change of Base Formula
Application
9.4

2. Basic Properties of Logarithms
For any base a (0<a and a≠1)
loga1=0
a0 = 1
logaa=1
a1 = a
logaax=x
ax = ax
alogax=x
ax = logax
9.4

3. The Product Rule for Logs
9.4

4. The Power Rule for Logs
9.4

5. The Quotient Rule for Logs
9.4

6. Using the Properties Together
9.4

7. What Next? Conic Sections
Present Chapter 10
9.4