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 \( \frac { { tan }^{ -1 }(m) }{ n } =\quad ?\)
give your answer to 2 decimal places. Calculate in radians.
by
Apoorv Padghan