Question

1) log [log (x-3)]=0

Answer 1

$\log\left[\log(x-3)\right]=0\\\\\log_{10}\left[\log(x-3)\right]=0\\\\10^0=\log(x-3)\\\\\log(x-3)=1\\\\10^1=(x-3)\\\\x-3=10\\\\\boxed{x=13}$