Question

if 2 raised to power x=3 raised to power y=6 raised to power z prove that 1/x+1/y-1/z=0 or z=xy/x+y

Answer 1

Given 2x = 3y = 6 –z
Let 2x = 3y = 6 –z = k
Consider, 2x = k



  → (1)
Consider, 3y = k



  → (2)
Consider, 6 –z = k
 



  → (3)
Multiply (1) and (2), we get




On comparing both the sides, we get