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Mathematics
Problem
If
log
10
(
x
−
1
)
,
log
10
x
,
log
10
(
x
+
9
)
\log_{10}(x-1),\,\log_{10}x,\,\log_{10}(x+9)
lo
g
10
(
x
−
1
)
,
lo
g
10
x
,
lo
g
10
(
x
+
9
)
are consecutive terms of an arithmetic progression, then the value of
x
x
x
is a)
4
4
4
b)
85
−
7
2
\dfrac{\sqrt{85}-7}{2}
2
85
−
7
c)
3
(
2
−
1
)
3(\sqrt{2}-1)
3
(
2
−
1
)
d)
9
8
\dfrac{9}{8}
8
9
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