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Mathematics
Mathematics
Problem
Define
k
(
x
)
=
log
2
(
x
−
1
)
+
log
2
(
5
−
2
x
)
k(x)=\log_{2}(x-1)+\log_{2}(5-2x)
k
(
x
)
=
lo
g
2
(
x
−
1
)
+
lo
g
2
(
5
−
2
x
)
. a. (i) Express
k
(
x
)
k(x)
k
(
x
)
as a single logarithm of base
2
2
2
. b. (ii) Find the domain of
k
(
x
)
k(x)
k
(
x
)
. c. (iii) Within this domain, solve
k
(
x
)
=
0
k(x)=0
k
(
x
)
=
0
.
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