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Let a,b" and "c are distinct positive n...

Let `a,b" and "c` are distinct positive numbers,none of them is equal to unity such that
` log _(b)a .log_(c)a+log_(a)b*log_(c)b+log_(a)c*log_(b)c-log_(b)a sqrt(a)*log_(sqrt(c))b^(1/3)*log_(a)c^(3)=0,` then the value of abc is -

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