5
x
+
1
−
5
x
=
3
x
5
⋅
5
x
−
5
x
=
3
x
(
5
−
1
)
⋅
5
x
=
3
x
4
⋅
5
x
=
3
x
5
x
3
x
=
1
4
(
5
3
)
x
=
1
4
ln
(
5
3
)
x
=
ln
1
4
x
⋅
ln
(
5
3
)
=
−
ln
4
x
⋅
(
ln
5
−
ln
3
)
=
−
ln
4
x
=
−
ln
4
ln
5
−
ln
3
5^{ x+1 } - 5^x = 3^x newline
5 cdot 5^x - 5^x = 3^x newline
( 5-1 ) cdot 5^x = 3^x newline
4 cdot 5^x = 3^x newline
5^x over 3^x= 1 over 4 newline
left(5 over 3 right)^x = 1 over 4 newline
ln left(5 over 3 right)^x = ln 1 over 4 newline
x cdot ln left(5 over 3 right) = - ln 4 newline
x cdot left(ln 5 - ln 3 right) = - ln 4 newline
x = - {{ln 4} over {ln 5 - ln 3 }} newline