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Problems
Problem
Problem
Statement-1
log
10
x
<
log
3
x
<
log
e
x
<
log
2
x
\log_{10} x < \log_3 x < \log_e x < \log_2 x
lo
g
10
x
<
lo
g
3
x
<
lo
g
e
x
<
lo
g
2
x
(
x
>
0
,
x
≠
1
)
(x > 0, x \neq 1)
(
x
>
0
,
x
=
1
)
.
Statement-2
If
0
<
x
<
1
0 < x < 1
0
<
x
<
1
, then
log
x
a
>
log
x
b
⇒
0
<
a
<
b
\log_x a > \log_x b \Rightarrow 0 < a < b
lo
g
x
a
>
lo
g
x
b
⇒
0
<
a
<
b
.
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