(1/5) ^(x+1) = 5
(5^(-1) ^(x+1) = 5
5^(-x -1) = 5^1
-x-1=1
-x=1+1
-x=2
x= - 2
(1/3)^(x-3) = 27
(3^(-1) ) ^(x-3) = 3^3
3^(3-x) =3^3
3-x=3
-x=3-3
x=0
(1/5)^(3-3x)=1
(1/5)^(3-3x) = (1/5) ^0
3-3x=0
-3x=-3
x=1
7^(2x+3) =1/ ∛7
7^(2x+3) = (7^(1/3) ) ^(-1)
7^(2x+3) = 7^(-1/3)
2x+3 = -1/3
2x= -1/3 - 3
2x= - 3 1/3
x= - 3 1/3 : 2 = - 10/3 * 1/2 = - 10/6
x= - 5/3
x= - 1 2/3