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Byju's Answer
Standard IX
Mathematics
Laws of Exponents for Real Numbers
Solve : 23x...
Question
Solve :
2
3
x
+
1
+
2
7
=
(
−
4
)
4
Open in App
Solution
2
3
x
+
1
+
2
7
=
(
−
4
)
4
⟹
2
3
x
+
1
+
2
7
=
(
−
1
)
4
.
(
2
2
)
4
⟹
2
3
x
+
1
+
2
7
=
2
8
(since,
(
a
m
)
n
=
a
m
n
)
⟹
2
3
x
+
1
=
2
8
−
2
7
⟹
2
3
x
+
1
=
2
7
(
2
−
1
)
⟹
2
3
x
+
1
=
2
7
when bases are equal then equate the powers
⟹
3
x
+
1
=
7
⟹
3
x
=
6
⟹
x
=
2
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