If log a/b-c=log b/c-a=log c/a-b, then prove that a^a b^b c =1.

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If log a /( b - c )= log b / (c - a) = log c /(a - b) prove that a^a b^b c^c = 1 If log a /( b - c )= log b / (c - a) = log c /(a - b) prove that a^a b^b c^c = 1
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If log a (b) = log b (⁡c) = log c (a) show a=b=c If log a (b) = log b (⁡c) = log c (a) show a=b=c
If (loga)/(b-c)=(logb)/(c-a)=(logc)/(a-b) then a^(a).b^(b).c^(c) = | CLASS 12 | LOGARITHMS AND ... If (loga)/(b-c)=(logb)/(c-a)=(logc)/(a-b) then a^(a).b^(b).c^(c) = | CLASS 12 | LOGARITHMS AND ...
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The value of `(bc)^log(b/c)*(ca)^log(c/a)*(ab)^log(a/b)` is The value of `(bc)^log(b/c)*(ca)^log(c/a)*(ab)^log(a/b)` is
If `x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab`, then `(xyz)/(xy+yz+zx)` is equal to If `x=1+log_(a) bc, y=1+log_(b) ca, z=1+log_(c) ab`, then `(xyz)/(xy+yz+zx)` is equal to