Penyelesaian persamaan [tex]\bf{3^{2x+1}=\left(9^{x-2}\right)^{2}}[/tex] adalah.... A. 0 B. 4 C. 2 D.... Question from @Sinogen

May 2022 2 17 Report

Penyelesaian persamaan
[tex]\bf{3^{2x+1}=\left(9^{x-2}\right)^{2}}[/tex]
adalah....
A. 0
B. 4
C. 2
D. 16
E. [tex]\bf{4\frac{1}{2}}[/tex]

[tex]\small\boxed{\tt{Note_{1}=Jawablah\ dengan\ usaha\ sendiri}}[/tex]
[tex]\small\boxed{\tt{Note_{2}=Dilarang\ nyalin\ jawaban\ maupun\ copas\ dari\ web}}[/tex]
[tex]\small\boxed{\tt{Note_{3}=Jaga \ Kesehatan \ yah}}[/tex]

Terimakasih ^^

justreza

Jawaban:

E. 4½

${3}^{2x + 1} = ( {9}^{x - 2}) ^{2} \\ {3}^{2x + 1} = (( {3}^{2} )^{x -2} )^{2} \\ {3}^{2x + 1} = ( {3}^{2x - 4} )^{2} \\ {3}^{2x + 1} = {3}^{4x - 8} \\ 2x + 1 = 4x - 8 \\ 2x - 4x = - 8 - 1 \\ - 2x = - 9 \\ x = \frac{ - 9}{ - 2} \\ x = \frac{9}{2} \\ x = 4 \frac{1}{2}$