Logarithmic & Exponential Functions Worksheet
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1
2Advanced Math
4.3 Logarithmic & Exponential Functions
Name:
April 2015
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Please find the following:
2
2
3
4
5
2
=
7
=
2
=
2
=
2
=
2
2
3
4
5
3
=
3
=
8
=
3
=
3
=
2
2
3
4
5
4
=
9
=
4
=
4
=
4
=
2
2
3
4
5
5
=
10
=
5
=
5
=
5
=
2
2
3
6
=
11
=
6
=
NOTES
If �� > 0 and �� ≠ 1
The exponential form of �� = log
�� is ____________________
��
��
The logarithmic form of ��
= �� is ____________________
Example 1: Write each equation in its exponential form.
Logarithmic Form
Exponential Form
2 = log
9
3
3 = log
64
4
5 = log
32
2
6 = log(2�� − 3)
Example 2: Write each equation in its logarithmic form. Assume �� > 0 and �� > 0.
Logarithmic Form
Exponential Form
2
9
= 81
3
5
= 125
2
7
= 49
Common Log
Natural Log
Basic Logarithmic Properties
��
log
�� =
log
1 =
log
��
=
��
��
��
��
ln �� =
ln 1 =
ln ��
=
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