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Byju's Answer
Standard XII
Mathematics
Integration by Substitution
If y=2ax and ...
Question
If
y
=
2
a
x
and
d
y
d
x
=
log
256
at
x
=
1
, then the value of
a
is
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Solution
y
=
2
a
x
⇒
d
y
d
x
=
2
a
x
⋅
log
2
⋅
a
at
x
=
1
,
d
y
d
x
=
log
256
=
log
2
8
⇒
2
a
⋅
log
2
⋅
a
=
8
log
2
⇒
2
a
⋅
a
=
8
⇒
a
=
2
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19
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Integration by Substitution
Standard XII Mathematics
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