2
x
+
3
+
2
x
+
1
=
3
x
+
3
x
−
2
2
3
⋅
2
x
+
2
⋅
2
x
=
3
x
+
3
x
3
2
8
⋅
2
x
+
2
⋅
2
x
=
3
x
+
3
x
9
10
⋅
2
x
=
10
9
⋅
3
x
9
⋅
2
x
=
3
x
3
x
2
x
=
9
(
3
2
)
x
=
9
ln
(
3
2
)
x
=
ln
9
x
⋅
ln
(
3
2
)
=
ln
3
2
x
⋅
(
ln
3
−
ln
2
)
=
2
⋅
ln
3
x
=
2
⋅
ln
3
ln
3
−
ln
2
2^{ x+3 } + 2^{ x+1 }=3^x + 3^{ x-2 } newline
2^3 cdot 2^{ x} + 2 cdot 2^{ x}=3^x + 3^{ x } over {3^2} newline
8 cdot 2^{ x} + 2 cdot 2^{ x}=3^x + 3^{ x } over {9} newline
10 cdot 2^{ x} =10 over {9} cdot 3^{ x } newline
9 cdot 2^{ x} = 3^{ x } newline
3^{ x} over 2^{ x } = 9 newline
left (3 over 2 right) ^{ x} = 9 newline
ln left (3 over 2 right) ^{ x} = ln 9 newline
x cdot ln left (3 over 2 right) = ln 3^2 newline
x cdot left (ln 3 - ln 2 right) = 2 cdot ln 3 newline
x = 2 cdot {{ln 3} over { ln 3 - ln 2 }} newline