Question

3^x=4^y=12z, prove that z=xy/x+y​

Answer 1

Answer:

Step-by-step explanation:

let 3 ˣ=4^y=12^z=k

so 3=k^(1/x),4=k^(1/y),12=k^(1/z)

now 12=3*4

so k^(1/z)=k^(1/x)*k^(1/y)

k^(1/z)=k^(1/x+1/y)

1/z=1/x+1/y

1/z=x+y/xy

z=xy/x+y

hemce proved :)