5*9^x+1 - 15*3^x+2= 2430
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Answer:
Step-by-step explanation:
Put in a common base.
3
5
x
×
(
3
4
)
1
−
x
=
(
3
2
)
x
−
3
Simplify using the rules
a
n
×
a
m
=
a
n
+
m
and
(
a
n
)
m
=
a
n
×
m
.
3
5
x
×
3
4
−
4
x
=
3
2
x
−
6
3
5
x
+
4
−
4
x
=
3
2
x
−
6
We can now eliminate the bases and solve like a linear equation.
5
x
+
4
−
4
x
=
2
x
−
6
5
x
−
4
x
−
2
x
=
−
6
−
4
−
x
=
−
10
x
=
10
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