Respuesta :

Answer:

x=2

Step-by-step explanation:

27^x could also be written as 3^3x because 27 is 3^3. From here you know 3^x+4 is 3^3x. x+4 is 3x.With basic algebra you can find that x is 2

mariollosa1234

Answer:

x= 2

Step-by-step explanation:

consider

27 = 3³

__________________________

[tex] {3}^{x + 4} = {27}^{x} [/tex]

[tex] {x}^{x + 4} = ( {3}^{3} )^{x} [/tex]

[tex] {3}^{x + 4} = {3}^{3(x)} [/tex]

[tex] {3}^{x + 4} = {3}^{3x} [/tex]

[tex]x + 4 = 3x[/tex]

[tex]4 = 3x - x[/tex]

[tex]4 = 2x[/tex]

[tex] \frac{4}{2} = x[/tex]

[tex]2 = x[/tex]

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