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Byju's Answer
Standard IX
Mathematics
Comparison of Quantities Using Exponents
Solve for x: ...
Question
Solve for x:
2
3
x
+
3
=
2
3
x
+
1
+
48
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Solution
As given
⇒
2
3
x
+
3
=
2
3
x
+
1
+
48
⇒
2
3
x
+
3
−
2
3
x
+
1
=
48
⇒
2
3
x
(
2
3
−
2
1
)
=
48
⇒
2
3
x
(
8
−
2
)
=
48
⇒
2
3
x
(
6
)
=
48
⇒
2
3
x
=
48
6
⇒
2
3
x
=
8
⇒
2
3
x
=
2
3
Base are same so equating powers,
3
x
=
3
∴
x
=
1
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