Question

if 2 power x = 3 power y = 6 power z , show that z = xy / x+y(pls ans within 20 mins because it is very urgent )

Answer 1

2^x  = 3^y  = 6^z


2^x = 6^z
Raise both sides to power y.
    2^{xy} = 6^{zy}    --- (1)

3^y = 6^z
Raise both sides to power x
   3^{xy} = 6^{xz}    --- (2)

multiply (1) and (2)
   =>  (2 * 3)^{x y}  =  6^{z y + x z} = 6^{z(x+y)}
   =>  6^{x y} = 6^{z(x+y)}
   =>  x y =  z(x+y)
   =>  z = (x y) / (x + y)

Answer 2

Answer:

I hope this answer helpful for you

Thanks