Fast solution to logarithmic inequality Log base 2 (x ^ - 2x + 2) logarithm > log base 2 (2x-1) logarithm

Fast solution to logarithmic inequality Log base 2 (x ^ - 2x + 2) logarithm > log base 2 (2x-1) logarithm

Because the function with log base 2 is an increasing function, x ^ - 2x + 2 > 2x-1 and 2x-1 > 0, x ^ - 2x + 2 > 0
The solution is x > 3 or 1 / 2