256^(x+2)=16^(3x-1) How do I solve this equation for x? Help is appreciated. Thank You
256^(x+2)=16^(3x-1)
Notice that 256 = 2^8 and 16 = 2^4
So we have
2^8^(x + 2) = 2^4^(3x -1) and dropping the equal bases and solving for the exponents, we have
8(x + 2) = 4(3x - 1)
8x + 16 = 12x - 4 add 4 to both sides and subtract 8x from both sides
20 = 4x divide both sides by 4
5 = x
256^(x+2)=16^(3x-1)
Notice that 256 = 2^8 and 16 = 2^4
So we have
2^8^(x + 2) = 2^4^(3x -1) and dropping the equal bases and solving for the exponents, we have
8(x + 2) = 4(3x - 1)
8x + 16 = 12x - 4 add 4 to both sides and subtract 8x from both sides
20 = 4x divide both sides by 4
5 = x