Question 3
Let $x,$ $y,$ and $z$ be real numbers satisfying the system $$
\log_2(xyz - 3 + \log_5 x) = 5
$$ $$
\log_3(xyz - 3 + \log_5 y) = 4
$$ $$
\log_4(xyz - 3 + \log_5 z) = 4.
$$ Find the value of $|\log_5 x| + |\log_5 y| + |\log_5 z|.$
\log_2(xyz - 3 + \log_5 x) = 5
$$ $$
\log_3(xyz - 3 + \log_5 y) = 4
$$ $$
\log_4(xyz - 3 + \log_5 z) = 4.
$$ Find the value of $|\log_5 x| + |\log_5 y| + |\log_5 z|.$