Respuesta :
The solution to the exponential equation is x = -9.
What is the exponential equation?
As described in the problem, it is:
[tex]3^{4x} = 27^{x - 3}[/tex]
27 can be written as 3³, hence:
[tex]3^{4x} = 3^{3(x - 3)}[/tex]
Since the exponential function is injective, we can equal the exponents, hence:
[tex]4x = 3x - 9[/tex]
[tex]x = -9[/tex]
Hence, the solution to the exponential equation is x = -9.
More can be learned about exponential equations at https://brainly.com/question/25537936
