1.
(1/2)^(3-x) = 8
2^(x-3)=2^3
x-3 = 3
x=6
2.
(1/3)^(2x-9) = 1/27
(1/3)^(2x-9)=(1/3)^3
2x-9 = 3
2x=12
x=6
3.
(1/17)^(x-1) = 17^x
17^(1-x) = 17^x
1-x=x
2x=1
x=1/2
4.
9^(7-x) = 81^2x
9^(7-x)=(9^2)^2x
9^(7-x)=9^4x
7-x=4x
5x=7
x=7/5
x=1,4
5.
16^(x-9)=1/2
(2^4)^(x-9) = 2^(-1)
2^(4(x-9)) = 2^(-1)
4(x-9) = -1
4x-36 = -1
4x = 35
x=35/4
x = 8,75
6.
(1/2)^(5x-9) = 1/64
(1/2)^(5x-9) = (1/2)^6
5x-9=6
5x=15
x=3