Question

2ke pawer x= 3ke pawer y= 12 ke pawer z to prove that 1by x =

Answer 1

2^x = 3^y

3= 2^(x/y)

2^x=12^z

2^x=(3*(2^2))^z

Put value of 3 in this equation

2^x=2^(2z+xz/y)

Bases are same, you can equate the powers.

xy=2zy+xz

Divide both sides xyz

1/z=2/x+1/y

1/2(1/z-1/y)=1/x