4^(x+2)=8^(x-1)please help solve.
If you want to avoid logarithms: (2^2)^(x+2)= (2^3)(x-1). 2^(2x+4)=2^(3x-3). Now since the bases are the same and the answers are the same, then the powers must be the same. 2x+4=3x-3. Solve it.