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Mathematics
Mathematics
Problem
If
y
=
log
2
[
log
2
(
x
)
]
y = \log_2[\log_2(x)]
y
=
lo
g
2
[
lo
g
2
(
x
)]
, then
d
y
d
x
\frac{dy}{dx}
d
x
d
y
is equal to (a)
log
2
e
x
log
e
x
\frac{\log_2 e}{x \log_e x}
x
l
o
g
e
x
l
o
g
2
e
(b)
1
log
e
x
log
e
2
\frac{1}{\log_e x \log_e 2}
l
o
g
e
x
l
o
g
e
2
1
(c)
1
log
e
(
2
x
)
x
\frac{1}{\log_e (2x)^x}
l
o
g
e
(
2
x
)
x
1
(d) None of these
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