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Madhya Pradesh Police Exam Model Paper 8
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© examsnet.com
Question : 97
Total: 100
If
64
x
–
1
+
44
x
–
1
=
65
, then find the value of x.
2
4
5
1
Validate
Solution:
Given
64^{x – 1} + 44^{x – 1} = 65
Concept
(
a
m
)
n
=
a
m
n
Calculation
Putting x = 1, we get
64
x
–
1
+
44
x
–
1
=
64
1
–
1
+
4
4
–
1
=
64
0
+
4
3
=
1
+
64
=
65
Hence, x = 1
© examsnet.com
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