Question 1
Let $x,$ $y,$ and $z$ all exceed $1$ and let $w$ be a positive number such that $$
\begin{aligned} \log_x w &= 24,\\ \log_y w &= 40,\\ \log_{xyz} w &= 12. \end{aligned}
$$ Find $\log_z w.$
\begin{aligned} \log_x w &= 24,\\ \log_y w &= 40,\\ \log_{xyz} w &= 12. \end{aligned}
$$ Find $\log_z w.$