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Byju's Answer
Standard XII
Mathematics
Algebra of Derivatives
If log5 a.l...
Question
If
lo
g
5
a
.lo
g
a
x
=
2,
a
then x is equal to
A
125
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B
a
2
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C
25
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D
None of these
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Solution
The correct option is
C
25
We have,
log
5
a
.
log
a
x
=
2
We know that
log
a
b
=
log
b
log
a
Therefore,
log
a
log
5
×
log
x
log
a
=
2
log
x
log
5
=
2
log
x
=
2
log
5
log
x
=
log
5
2
x
=
25
Hence, this is the answer.
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