if x=1+loga bc, y=1+logb ca, z=1+logc ab then prove that,a^(x-3).b^(y-3).c^(z-3)=1
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Answer:x=log a base a +log bc base a
=log abc to the a. Similarly y and z.
a^x=abc
b^y=abc
cz=abc
a^x-3=bc/a^2
b^y-3=ac/b^2
c^z-3=ab/c^2
Multiply the above equations
a^x-3 b^y-3 c^z-3=1
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