Himpunan penyelesaian dari persamaan ²log (X²-2X+1=²log (2X²-2) adalah

[tex]{x}^{2} - 2x + 1 = 2{x}^{2} - 2 \\ {x}^{2} - 2{x}^{2} - 2x + 1 + 2 = 0 \\ -{x}^{2} - 2x + 3 = 0 \\ x = - 3 \: atau \: 1[/tex]
Uji coba x, jika x = -3[tex] log_{2}({ - 3}^{2} - 2( - 3) + 1) = log_{2}(2( { - 3}^{2} ) - 2 \\ log_{2}(9 + 6 + 1) = log_{2}(18 - 2) \\ log_{2}(16) = log_{2}(16) [/tex]
Uji coba, jika x = 1
[tex] log_{2}( {1}^{2} - 2(1) + 1) = log_{2}(2( {1}^{2} ) - 2) \\ log_{2}(1 - 2 + 1) = log_{2}(2 - 2) \\ log_{2}(0) = tak \: terdefinisi[/tex]