October 25, 2011
4-4
Properties of Logarithmic Functions
The Product Rule:
The Quotient Rule:
The Power Rule:
Other Properties:
Change of Base Formula:
Example 1
Example 2
a) Express the following as a sum of logarithms:
Express each of the following as a product:
a)
b) Express as a single logarithm:
b)
c)
October 25, 2011
Example 4 - on your own
Example 3
a) Express the following as a difference of logarithms:
b) Express as a single logarithm:
Express the following in terms of sums and differences of logarithms:
a)
b)
c)
Example 5 - on your own
Example 7 - on your own
Express the following as a single logarithm:
Simplify the following:
Example 6
Simplify the following:
October 25, 2011
Given
Given
Evaluate the following
Evaluate the following