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2^a=3^b=6^(-c)=k
2^a=k
k^(1/a)=2
similarly
k^(1/b)=3
& k^(-1/c)=6
and since 2×3=6
[k^(1/a)]×[k^(1/b)]=k^(-1/c)
k^[(1/a)+(1/b)]=k^(-1/c)
since bases are same thats why powers will be equal
therefore, (1/a)+(1/b)= -1/c
(1/a)+(1/b)+(1/c)=0
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