Question

Given that 2^(x) = 3^(y) =12^(z) , show that x = (z(2y+x))/y

Answer 1

take log thru out the eqn gives
x log2= y log3=zlog12
and log12=log 3 + log4 = log3 + 2log2 , log3= (x log2)/y
thus x log2 = z log12 = z (log 3 + 2log2) = z( [(xlog2)/y ] +2 log2)
thus x= z( [x/y]+2) =[z (x+2y) ]y

Answer 2

thanks