Explicație pas cu pas:
[tex]( {6}^{2} ) {}^{x} - 42 \times {6}^{x } + 216 = 0[/tex]
[tex]( {6}^{x} ) ^{2} - 42 \times {6}^{x} + 216 = 0[/tex]
[tex] {t}^{2} - 42t + 216 = 0[/tex]
[tex] {t}^{2} - 6t - 36t + 216 = 0 \\ t \times (t - 6) - 36t + 216 = 0 \\ t \times (t - 6) - 36( - 6) = 0 \\( t - 6) \times (t - 36) = 0 \\ t - 6 = 0 \\ t - 36 = 0 \\ t = 6 \\ t - 36 = 0 \\ t = 6 \\ t = 36[/tex]
[tex]6x = 6 \\ 6x = 36 \\ 6x = 6 \\ 6x = 6 {}^{1} \\ x = 1 \\ 6x = 36 \\ 6x = 6 ^{2} \\ x = 2[/tex]
ecuatia are 2 solutii
[tex]x ^{1} = 1 \\ x ^{2} = 2[/tex]
