if a=b^x,b=c^y and c= a^z prove that xyz =1 Question if a=b^x,b=c^y and c= a^z prove that xyz =1 in progress 0 Math Remi 1 week 2021-11-16T07:59:46+00:00 2021-11-16T07:59:46+00:00 1 Answer 0 views 0

## Answers ( )

If ax=b and by=c, substituting you get that axy=c. Now, if cz=a, substituting again, axyz=a, from where it follows that xyz=1.orc = {b^y} = [(a^x)^y] = {a^(xy)}

a = [c^z] = [{a^(xy)}^z] = [a^(xyz)]

(a^1) = [a^(xyz)]

Therefore, (xyz) = 1.