if a^x=bc,b^y=ac and c^z=ab then prove that xyz=x+y+z+2
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a ^x = bc
b^y =ac
c^z = ab
_____________________
Multiply both sides
a^x * b^y * c^z = a^2 * b^2 * c^2
After comparing
X= 2, y = 2, z= 2
LHS xyz =8
RHS x + y + z + 2 = 8
LHS = RHS
b^y =ac
c^z = ab
_____________________
Multiply both sides
a^x * b^y * c^z = a^2 * b^2 * c^2
After comparing
X= 2, y = 2, z= 2
LHS xyz =8
RHS x + y + z + 2 = 8
LHS = RHS
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