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Mathematics
Mathematics
Problem
The graph of
y
=
log
a
x
y=\log_a x
y
=
lo
g
a
x
passes through the point
(
1
4
,
−
2
)
\left(\dfrac{1}{4}, -2\right)
(
4
1
,
−
2
)
. (i) Determine the value of
a
a
a
. (ii) State whether the function is increasing or decreasing as
x
x
x
increases.
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