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Mathematics
Mathematics
Problem
Let
0
<
a
<
1
0<a<1
0
<
a
<
1
. Compare
log
a
2
\log_{a} 2
lo
g
a
2
and
log
a
5
\log_{a} 5
lo
g
a
5
. a)
log
a
2
<
log
a
5
\log_{a} 2<\log_{a} 5
lo
g
a
2
<
lo
g
a
5
b)
log
a
2
<
0
<
log
a
5
\log_{a} 2<0<\log_{a} 5
lo
g
a
2
<
0
<
lo
g
a
5
c)
log
a
2
>
log
a
5
\log_{a} 2>\log_{a} 5
lo
g
a
2
>
lo
g
a
5
d) Their order depends on the exact value of
a
a
a
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