16^(x-2)=2^x*(1/32)^(x-4)

Question

16^(x-2)=2^x*(1/32)^(x-4)

Answer 1

16^(x-2)=2^x*(1/2^5)^(x-4)
2^4x*2^(-8)=2^x*2^(-5x)*2^20
2^(4x+5x-x)=2^(20+8)
2^8x=2^(28)
8x=28
x=3,5