Solve the Problem $f ( x , y , z ) = \ln \left( \frac { x y } { z } \right)$

Multiple Choice

Solve the problem.
-Find an equation for the level surface of the function $f ( x , y , z ) = \ln \left( \frac { x y } { z } \right)$ that passes through the point $\left( \mathrm { e } ^ { 4 } , \mathrm { e } ^ { 12 } , \mathrm { e } ^ { 3 } \right)$

A) $\frac { x y } { z } = e ^ { 16 }$
B) $\ln \left( \frac { x y } { z } \right) = 16$
C) $\frac { x y } { z } = e ^ { 13 }$
D) $\ln \left( \frac { x y } { z } \right) = \frac { 1 } { 16 }$