Answer:
8^x
Step-by-step explanation:
8= 2*2*2= 2^3
==> 2^(2x-1) = (2^3)^X)
==> 2^(2x-1) = 2^3x
The bases are equal, then the powers are equal:
==> 2x-1= 3x
==> x=-1
To check:
2^(2x-1)= 8^x
2^(2(-1)-1) = 8^-1
2^(-3)=8^-3
1/ 2^3 = 1/8
1/8 = 1/8
