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Byju's Answer
Standard XI
Mathematics
Logarithms
If f x = x 2 ...
Question
If
f
(
x
)
=
x
2
and
g
(
x
)
=
2
x
, then the solution set of the equation
f
(
2
x
)
=
g
(
x
2
)
is
A
[
0
,
2
]
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B
R
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C
{
0
,
2
}
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D
R
−
[
0
,
2
]
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Solution
The correct option is
C
{
0
,
2
}
f
(
2
x
)
=
(
2
x
)
2
,
g
(
x
2
)
=
2
x
2
Given
f
(
2
x
)
=
g
(
x
2
)
⇒
2
2
x
=
2
x
2
∴
2
x
=
x
2
⇒
x
2
−
2
x
=
0
⇒
x
=
0
,
2
Hence, the solution set is
{
0
,
2
}
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0
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If
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