Respuesta :

Answer:

x ≈ 399.43

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]log_{e}[/tex] (x + 4) = 6 , then

x + 4 = [tex]e^{6}[/tex] ( subtract 4 from both sides )

x = [tex]e^{6}[/tex] - 4 ≈ 399.43 ( to the nearest hundredth )