Respuesta :

Answer:

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

Step-by-step explanation:

The given equation is:

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

We have to find the logarithmic equation with same solution as the given equation.

If we take the log of both sides, we can get a logarithmic equation. Since the log operation is applied to both sides the solution of the equation will stay the same.

Taking the logarithm to the base 3 of both sides, we get:

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

Answer: The CORRECT answer is C: log2(x-4)=3