Question 740355
here is a shorter answer

note that log4(4) = 1

then we can rewrite the equation as

log4(x+4) + log4(x+4) = log4(4)

we can then remove the log base 4 from both sides of the =

we get

x+4 + x+4 = 4

2x+8 = 4

2x = -4

and x = -2