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Mathematics
Mathematics
Problem
Which of the following gives
d
d
x
(
log
a
x
)
\displaystyle \frac{d}{dx}(\log_a x)
d
x
d
(
lo
g
a
x
)
, where
a
>
0
,
a
≠
1
a>0,\;a\neq1
a
>
0
,
a
=
1
? a)
ln
a
x
\dfrac{\ln a}{x}
x
ln
a
b)
1
a
x
\dfrac{1}{a x}
a
x
1
c)
1
x
ln
a
\dfrac{1}{x\ln a}
x
ln
a
1
d)
ln
x
a
\dfrac{\ln x}{a}
a
ln
x
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