Y by Samujjal101, Adventure10, Mango247
Let
be real number greater than
. Let
![\[S=\log_a {bc}+\log_b {ca}+\log_c {ab}\]](//latex.artofproblemsolving.com/5/9/e/59e1a33017116963165f744b49b8515f126c64ef.png)
Find the minimum possible value of
.


![\[S=\log_a {bc}+\log_b {ca}+\log_c {ab}\]](http://latex.artofproblemsolving.com/5/9/e/59e1a33017116963165f744b49b8515f126c64ef.png)
Find the minimum possible value of

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