Answer:
x = -14/5
Step-by-step explanation:
Given: 8^(3x+4) = 4^(2x-1)
Rewrite with same base: (2^3)^(3x+4) = (2^2)^(2x-1)
Use exponent rules: 2^(3(3x+4)) = 2^(2(2x-1))
Eliminate bases: 3(3x+4) = 2(2x-1)
9x+12 = 4x-2
5x+12 = -2
5x = -14
