### exponential and logs smartboard period 3

```exponential and logs smartboard period 3.notebook
October 21, 2015
D: Inverse Properties of Logarithms
For b > 0 and b ≠ 1:
Examples: Evaluate
1) 2)
3)
4)
5)
6)
E: Graphing Logarithmic Functions
Graph and coordinate system.
in the same rectangular 1
exponential and logs smartboard period 3.notebook
October 21, 2015
F: Characteristics of Exponential Functions 1) Domain of
Range of
:
:
2) The graph of logarithmic functions of the form pass through the point ______ because _________________
_________________________________________________ 3) If b > 1, then
function. 4) If 0< b < 1, then
function. is an increasing/decreasing is an increasing/decreasing 5) ______________ is a vertical asymptote.
G: Domain of Logarithmic Functions
Find the domain of the following functions:
1)
2)
2
exponential and logs smartboard period 3.notebook
October 21, 2015
H: Natural logarithms
Natural logarithmic function:
or
Find the domain of the following functions.
1)
2)
I: Properties of Natural Logarithms
a)
b)
c)
d)
Simplify:
1)
2)
4)
5)
3)
3
exponential and logs smartboard period 3.notebook
October 21, 2015
Lesson 3: Properties of Logarithms
A: Product Rule
Let b, M and N be positive real number with b ≠ 1.
Use the product rule to expand each logarithmic expression.
1)
2)
3)
4) 4
exponential and logs smartboard period 3.notebook
October 21, 2015
B: Quotient Rule
Let b, M and N be positive real number with b ≠ 1.
Use the quotient rule to expand each logarithmic expression.
1)
2)
3)
C: Power Rule
Let b and M be positive real number with b ≠ 1, and let p be any real number.
Use the power rule to expand each logarithmic expression.
1)
2)
3)
4)
5)
6)
5
exponential and logs smartboard period 3.notebook
October 21, 2015
D: Expanding Logarithmic Expressions
Use logarithmic properties to expand each expression as much as possible.
a)
b)
c)
d)
5)
6)
7)
8)
6
exponential and logs smartboard period 3.notebook
October 21, 2015
E: Condensing Logarithmic Expressions
Write each as a single logarithm.
a)
b)
`
c)
d)
7
```