Matematika Sekolah Menengah Atas


[tex]\color{thistle}{\bf{ {9}^{4x + 8} = {81}^{x - 3} }}[/tex]

[tex]\color{thistle}{\bf{x = ....?}}[/tex]














[tex]\color{thistle}{\bf{ {9}^{4x + 8} = {81}^{x - 3} }}[/tex]

[tex]\color{thistle}{\bf{x = ....?}}[/tex]











Penjelasan dengan langkah-langkah:

[tex]\sf{9}^{4x + 8} = {81}^{x - 3}[/tex]

[tex]\sf {9}^{4x + 8} = ( {9}^{2} ) {}^{x - 3} [/tex]

[tex]\sf {9}^{4x + 8} = {9}^{2x - 6} [/tex]

[tex]\sf4x + 8 = 2x - 6[/tex]

[tex]\sf4x - 2x = - 6 - 8[/tex]

[tex]\sf2x = - 14[/tex]

[tex]\sf \: x = - \frac{ 14}{2} [/tex]

[tex]\sf \: x = - 7[/tex]

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