5.
Greatest integer less than or equal to the number
log 15.log 2.log 1/6 is:
² ⅙ ³
(A) 4
(B) 3
(C)2
(D) 1
Answers
Answered by
0
Greatest integer less than or equal to the number log
2
15.log
1/6
2.log
3
1/6 is :
Medium
Solution
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Correct option is
C
2
Given,
log
2
(15)log
6
1
(2)log
3
(
6
1
)
=
ln(2)
ln(15)
⋅
ln(
6
1
)
ln(2)
log
3
(
6
1
)
=
ln(
6
1
)
ln(15)
log
3
(
6
1
)
=
−ln(6)
ln(15)log
3
(
6
1
)
=
−ln(6)
ln(15)(−log
3
(6))
=
ln(6)
ln(15)log
3
(6)
≈2.46497…
Therefore number greater integer less than or equal to log
2
(15)log
6
1
(2)log
3
(
6
1
)=2
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