Answer :
a^x = b x^y = c c^z = a
take logarithms
x log a = log b y log b = log c z log c = log a
xyz = logb log c log a / ( log b log a log c) = 1
take logarithms
x log a = log b y log b = log c z log c = log a
xyz = logb log c log a / ( log b log a log c) = 1