Respuesta :

frika

Answer:

x = -8

Step-by-step explanation:

Given the equation:

[tex]27^x=9^{x-4}[/tex]

Note that

[tex]27=3^3\\ \\9=3^2,[/tex]

then

[tex]27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}[/tex]

Rewrite the equation as

[tex]3^{3x}=3^{2(x-4)},[/tex]

then

[tex]3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8[/tex]