Question

if a^x=b^y=c^2=d^w and ab=cd prove that 1\x+1\y=1\z+1\w

Answer 1

1/x + 1/y + 1/z = 0
let a^ x = b^y = c^z = k> a = k^(1/x)
and b = k^(1/y) and c= k ^(1/z)
as abc= 1
1/x +1/y +1/z = 0

Answer 2

Answer in attachment.

Continuation of problem is in 2nd attachment

Hope it helps.