solve the eaution for x?

4^(2x - 1) = 8^x
(2^2)^(2x - 1) = (2^3)^x
2^[2(2x - 1)] = 2^(3x)
2(2x - 1) = 3x
4x - 2 = 3x
4x - 3x = 2
x = 2

8^x = 4^(x+1) .. so x=2

In 2010 promise to use brackets !

4^(2x - 1) = 8^x

2^(4x - 2) = 2^(3x)

4x - 2 = 3x

x = 2

4^(2x - 1) = 8^x

Note that 8^x = (2^3)^x = 2^3x

Also note 4^(2x-1) = (2^2)^(2x-1) = 2^(4x-2)

Then 2^3x = 2^(4x-2), so 3x = 4x -2

Hence x = 2