Answer:
x=2
Step-by-step explanation:
9 ^(2x-1) = 3 ^ (-x+8)
Rewrite 9 as 3^2
3^2 ^(2x-1) = 3 ^ (-x+8)
We know a^b^c = a^(b*c)
3^(2 *(2x-1)) = 3 ^ (-x+8)
3 ^ (4x-2) = 3 ^ (-x+8)
The bases are the same so the exponents are the same
4x-2 = -x+8
Add x to each side
4x-2+x = -x+x+8
5x-2 =8
Add 2 to each side
5x-2+2 = 8+2
5x = 10
Divide each side by 5
5x/5 = 10/5
x=2
