Question 1
The number $$
\frac{2}{\log_4 2000^6} + \frac{3}{\log_5 2000^6}
$$ can be written as $\frac{m}{n},$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$
\frac{2}{\log_4 2000^6} + \frac{3}{\log_5 2000^6}
$$ can be written as $\frac{m}{n},$ where $m$ and $n$ are relatively prime positive integers. Find $m + n.$