hp persamaan 4.3^x+1 -9^x -27=0

Matematika

[tex]4. {3}^{x + 1} - {9}^{x} - 27 = 0 \\ 4. {3}^{x} \times {3}^{1} - ( { {3}^{2}) }^{x } - 27 = 0 \\ 12. {3}^{x} - { ({3}^{x} )}^{2} - 27 = 0[/tex]

Misal →
[tex] {3}^{x} = t[/tex]

Maka
[tex]12.t - {t}^{2} - 27 = 0 \\ {t}^{2} - 12t + 27 = 0 \\ (t - 9)(t - 3) = 0 \\ t = 9 \: dan \: t = 3[/tex]

[tex] {3}^{x} = t \\ {3}^{x} = 9 \\ x = 2 \\ \\ {3}^{x } = t \\ {3}^{x} = 3 \\ x = 1 \\ \\ [/tex]
HP {2 , 1}