Question

a to the power ofx=b ,
b to the power ofy=c ,
c to the power ofz=a ,
find xyz

Answer 1

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