Question

log[log(x+4)-4]=0 then x=-4 how

Answer 1

if
\[\log(\log(x+4)-4)=0\] then it must be the case that
\[\log(x+4)-4=1\]

Answer 2

that makes
\[\log(x+4)=5\] and so
\[x+4=10^5\]
\(x=-4\) is NOT the answer for sure
you cannot take the log of zero