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Mathematics
Mathematics
Problem
Find the domain of the function
f
(
x
)
=
log
{
log
∣
sin
x
∣
(
x
2
−
8
x
+
23
)
−
3
log
2
∣
sin
x
∣
}
.
f(x) = \log \left\{ \log_{|\sin x|} (x^2 - 8x + 23) - \frac{3}{\log_2 |\sin x|} \right\}.
f
(
x
)
=
lo
g
{
lo
g
∣
s
i
n
x
∣
(
x
2
−
8
x
+
23
)
−
lo
g
2
∣
sin
x
∣
3
}
.
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