Question

if a^x=b^y=c^z and b^2=ac prove that y=2xz/x+z​

Answer 1

Answer:

I got the proof. pls mark brainliest.;)

Step-by-step explanation:

let us take a^x=b^y=c^z=k

then a=k^1/x, b=k^1/y, c=k^1/z.

Given, b²=ac.

substitute in the value of A B and C that we got.

then you will get

k^2/y=k^(1/x+1/y)

base is same. so we can equate powers.

we get

2/y=1/x+1/y=(x+y)/xy.

so y is 2xy/x+y.