If `(log x)/(b-c) = (log y)/(c-a) = (log z)/(a-b)`, then prove that
`x^(b+c).y^(c+a).z^(a+b) = 1`

If (log x)/(b-c) = (log y)/(c-a) = (log z)/(a-b) , then prove that x^(b^2+bc+c^2).y^(c^2+ca+a^2).z^(a^2+ab+b^2)=1

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

If (log a)/(b-c)=(log b)/(c-a)=(log c)/(a-b) then prove that a^(b+c)*b^(c+a)*c^(a+b)=1

If (log x)/(y-z)=(log y)/(z-x)=(log z)/(x-y), then prove that: x^(x)y^(y)z^(z)=1

(log x)/(2a+3b-5c)=(log y)/(2b+3c-5a)=(log z)/(2c=3a-5b')

If ("log"_(e)x)/(b - c) = ("log"_(e) y)/(c - a) = ("log"_(e) z)/(a - b) , show that x^(a)y^(b)z^(c ) = 1

If a,b,c are positive reral numbers such that (log a)/(b-c)=(log b)/(c-a)=(log c)/(a-b), then prove that

If (logx)/(a - b) = (logy)/(b-c) = (log z)/(c -a) , then xyz is equal to :

If (log a)/(b-c)=(log b)/(c-a)=(log c)/(a-b), then a^(b+c)*b^(c+a)*c^(a+b)=

If (log a)/(b-c)=(log b)/(c-a)=(log c)/(a-b), then a^(b+c)+b^(c+a)+c^(a+b) is