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Byju's Answer
Standard XII
Mathematics
Permutation: n Different Things Taken r at a Time
If 2 x-3 . ...
Question
If
2
x
−
3
.
3
2
x
−
8
=
36
, then value of
x
is ____ .
A
2
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B
5
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C
3
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D
1
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Solution
The correct option is
A
5
2
x
−
3
×
3
2
x
−
8
=
4
×
9
2
x
−
3
×
3
2
x
−
8
=
2
2
×
3
2
2
x
−
5
×
3
2
x
−
10
=
1
x
=
5
as RHS is 1, the powers have to be zero on the LHS as anything raise to
0
is always
1
Thus
x
−
5
=
0
→
x
=
5
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0
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