Solve for x, simplify if possible. Round to three decimal places.

As given by the question
There are given that the log function
[tex]log_4(x+8)=2[/tex]Now,
From the log rule,
[tex]\begin{gathered} log_4(x+8)=2 \\ x+8=(2)^4 \\ x+8=16 \\ x=16-8 \\ x=8 \end{gathered}[/tex]Hence, the value of x is 8.