# Oh my log!

Algebra Level 4

Given that $${ a }^{ 2 }={ b }^{ 3 }={ c }^{ 5 }={ d }^{ 6 }$$,

let $$\log _{ d }{ abc } = \frac { m }{ n }$$ where m and n are co-prime integers

then $$\frac { { tan }^{ -1 }(m) }{ n } =\quad ?$$