Logarithms Worksheet
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1
2Advanced Algebra
Name ________________________________________
CLASS NOTES FOR LESSON 7.4
A
EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Period ______ Date ____________________________
7.4
Logarithms
A
3
2
8
can also be written as a new mathematical expression, called a logarithm:
A power such as
log
8
3
2
In general:
x
log
y
x
b
y
is equivalent to
b
(exponential form)
(logarithmic form)
(notice that the base in exponential form is still the base in logarithmic form)
Rewrite each expression into its equivalent form to fill in the blank:
Exponential
Logarithmic
Exponential
Logarithmic
form:
form:
form:
form:
log
25
2
4
3
81
5
log
64
3
5
2
32
4
1
3
log
2
7
343
6
36
1
log
12
1
9
3
2
12
1
log
2
0
4
1
8
3
log
p
q
r
t
w
m
Two important details:
The base of a logarithm must always be a positive number
We can only take logarithms of positive numbers
(Can you think why? )
Evaluate each logarithm:
(if necessary, you can always rewrite it first in exponential form!)
log
16
log
125
5
4
1
log
3
log
3
13
13
1
log
1
log
6
2
8
log
3
log
0
1 .
9
10
1
log
10
log
1000
4
2
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