200
L23
§5.3 Logarithmic Functions
The exponential function
( )
x
f x
a
=
(
0,
1)
a
a
>
≠
is a
1-1 function and, therefore, it has the inverse
1
( )
f
x
−
.
We denote the inverse log
a
x
and read “logarithm to
the base
a
of
x
”.
Sketch the graphs of
2
x
y
=
and
2
log
y
x
=
.
Sketch the graphs of
1
2
x
y
⎛
⎞
=
⎜
⎟
⎝
⎠
and
1
2
log
y
x
=

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