if-x-y-z-gt-0-and-a-b-c-gt-0-different-in-pairs-and-n-k-N-log-x-n-b-k-c-k-log-y-n-c-k-a-k-log-z-n-a-k-b-k-then-find-xyz-

Question Number 161096 by HongKing last updated on 11/Dec/21

if x; y; z > 0 and a; b; c > 0

different in pairs and n; k \in N^{*}

\frac{\log x^{n}}{b^{k} - c^{k}} = \frac{\log y^{n}}{c^{k} - a^{k}} = \frac{\log z^{n}}{a^{k} - b^{k}}

then find \sqrt{xyz}