3
x
+
2
+
7
⋅
3
x
=
4
x
+
1
+
5
⋅
4
x
9
⋅
3
x
+
7
⋅
3
x
=
4
⋅
4
x
+
5
⋅
4
x
16
⋅
3
x
=
9
⋅
4
x
4
x
3
x
=
16
9
4
x
3
x
=
4
2
3
2
(
4
3
)
x
=
(
4
3
)
2
x
=
2
3^{ x+2 } + 7 cdot 3^x = 4^{ x+1 } + 5 cdot 4^x newline
9 cdot 3^{ x } + 7 cdot 3^x = 4 cdot 4^{ x } + 5 cdot 4^x newline
16 cdot 3^{ x } = 9 cdot 4^{ x } newline
4^{ x } over 3^x= 16 over 9 newline
4^{ x } over 3^x= 4^2 over 3^2 newline
left( 4 over 3 right)^x= left( 4 over 3 right)^2 newline
x=2