MA 153
Lesson 37 Outline
Review of Lesson 36:
Logarithms—be sure to be able to switch from log form to
exponential form and vice versa.
Definition of a logarithm
log
y
a
y
x
a
=
↔
x
=
(log form)
(exponential form)
Domain:
which means that you cannot take the logarithm of a negative number of
zero.
0
x
>
Types of Logarithms
(1)
Regular Log
(2)
Common Log
(3)
Natural Log
log
a
y
=
x
x
log
y
=
means
ln
y
x
=
means
10
log
y
x
=
log
e
y
x
=
Answering of homework questions over lesson 36.
Lesson 37
Section 5.4 (con’t)
Logarithms
Graphing
Example
x
y
Sketch the graph of
f
if
a
=3:
(a)
(
)
(
)
3
log
log
a
f
x
x
f
x
x
=
=

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(b)
3
2log
y
x
=
y
x
(c)
(
)
3
log
2
y
x
=
+
y
x
(d)
3
log
2
y
x
=
+
x
y