Logarithmic Functions And Their Graphs Worksheet
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43.3 Logarithmic Functions and Their Graphs
Name: ___________________
Objective: Students will be able to convert equations between
logarithmic form and exponential form, evaluate common and
natural logarithms and graph them.
What in the world is a logarithm?
Logarithms are _____________.
Let b and y be positive numbers with b≠1. The logarithm of y with base b is
denoted log
y=x and is defined as follows:
b
x
log
y=x
if and only if b
=y
b
In words: log
y=x is read "log base b of y".
b
Common log: log
x=logx
Natural log : log
x=lnx
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e
Feb 146:15 PM
Examples : Rewrite in exponential form.
1.) log
8=3
2.) log
1=0
4
2
3.) log
12=1
4.) log
¼=-2
12
2
Examples : Rewrite in logarithmic form.
2
-2
1.) 3
=9
2.) 5
=1/25
-3
0
3.) (½)
=8
4.) 4
=1
Examples : Evaluate the logarithms.
1.) log
25
2.) log
81
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Feb 146:26 PM
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