If the statements below are true for real number a, b, c, d, and x
\(\begin{cases} \begin{align} \log_aw&=15 \\ \log_bw&=12 \\ \log_cw&=20 \\ \log_dw&=60 \\ \log_{abcdx}w&=\dfrac{60}{13} \end{align} \end{cases}\)
Find \(\log_x w\)
