Simplify the expression. 2(34x ) + 5(92x ) + 81x

9
2
x
−
1
=
27
x
+
4
9
2
x
-
1
=
27
x
+
4
Create equivalent expressions in the equation that all have equal bases.
3
2
(
2
x
−
1
)
=
3
3
(
x
+
4
)
3
2
(
2
x
-
1
)
=
3
3
(
x
+
4
)
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2
(
2
x
−
1
)
=
3
(
x
+
4
)
2
(
2
x
-
1
)
=
3
(
x
+
4
)
Solve for
x
x
.
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x

It equals 1373.5 that’s the solution