If a^{x} = b, b^{y} = c, and c^{x} = a, prove that the product xyz = 1.

x=log_{a}b =(log b)/(log a) y=log_{b}c =(log c)/(log b) z=log_{c}a =(log a)/(log c)

Do you mean c^{z} = a? There is no z in your given.

MATHalino

x=log

_{a}b =(log b)/(log a)y=log

_{b}c =(log c)/(log b)z=log

_{c}a =(log a)/(log c)Do you mean

c=^{z}a? There is nozin your given.