Question

Answer it with steps! ↓
If
${2}^{x} = {3}^{y} = {12}^{z}$
Show that
$\frac{1}{z} = \frac{1}{y } + \frac{2}{ x}$

Answer 1

log(x)=log(a)+1/2[log(a+b) - log(a-b)^1/3 +logc^2]

log(x)=log(a)+1/2[log(a+b)/(a-b)^1/3+logc^2]

log(x)=log(a)+1/2[log{(a+b)/(a-b)^1/3}c^2]

log(x)=log(a)+log{(a+b)/(a-b)^1/3}c^2}^1/2

log(x)=log[{(a+b)/(a-b)^1/3}c^2}^1/2]*a

x=[{(a+b)/(a-b)^1/3}c^2}^1/2]*a

x=a*c[(a+b)/(a-b)^1/3]

Answer 2

Refer the attached picture.