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Mathematics
Mathematics
Problem
The graph of a logarithmic function passes through the point
(
2
,
0
)
(2,0)
(
2
,
0
)
, has a vertical asymptote at
x
=
1
x=1
x
=
1
, and is increasing on its domain. Which of the following could be its equation? a)
y
=
log
2
(
1
−
x
)
y=\log_{2}(1-x)
y
=
lo
g
2
(
1
−
x
)
b)
y
=
log
1
2
(
x
−
1
)
y=\log_{\tfrac12}(x-1)
y
=
lo
g
2
1
(
x
−
1
)
c)
y
=
log
2
(
x
−
1
)
y=\log_{2}(x-1)
y
=
lo
g
2
(
x
−
1
)
d)
y
=
log
2
(
x
−
1
)
+
1
y=\log_{2}(x-1)+1
y
=
lo
g
2
(
x
−
1
)
+
1
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